{"id":223838,"date":"2026-05-05T10:05:03","date_gmt":"2026-05-05T04:35:03","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=223838"},"modified":"2026-05-05T10:08:34","modified_gmt":"2026-05-05T04:38:34","slug":"permutation-and-combination","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/","title":{"rendered":"Permutation and Combination Formulas, Short Tricks, and Tips"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Download_Permutation_and_Combination_Questions_PDF\" >Download Permutation and Combination Questions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Practice_Permutation_and_Combination_Questions_Live\" >Practice Permutation and Combination Questions Live<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Sign_Up\" >Sign Up<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Login\" >Login<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Forgot_Password\" >Forgot Password<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#i\" >&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#What_is_Permutation_and_Combination_in_Quantitative_Aptitude\" >What is Permutation and Combination in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Why_is_Permutation_and_Combination_Important_in_Competitive_Exams\" >Why is Permutation and Combination Important in Competitive Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Permutation_and_Combination_Quantitative_Aptitude_Short_Notes\" >Permutation and Combination Quantitative Aptitude Short Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Concepts_Based_on_Permutation_and_Combination\" >Concepts Based on Permutation and Combination<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#What_Are_the_Types_of_Permutation_and_Combination_Questions_in_Quantitative_Aptitude\" >What Are the Types of Permutation and Combination Questions in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Permutation_and_Combination_Formulas_for_Quantitative_Aptitude\" >Permutation and Combination Formulas for Quantitative Aptitude<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Permutation_and_Combination_Tricks_for_SSC_CGL_and_Other_Exams\" >Permutation and Combination Tricks for SSC CGL and Other Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#Common_Mistakes_to_Avoid_while_Solving_Permutation_and_Combination\" >Common Mistakes to Avoid while Solving Permutation and Combination<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Permutation and Combination is a crucial topic in the Quantitative Aptitude section of various competitive exams. It deals with counting, arrangement, and selection problems and requires a logical and analytical mindset. In this blog, we have provided permutation and combination short notes, formulas, exam-wise tricks, solved questions from 2024\u201325 exams, and more.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-download-permutation-and-combination-questions-pdf\"><span class=\"ez-toc-section\" id=\"Download_Permutation_and_Combination_Questions_PDF\"><\/span>Download Permutation and Combination Questions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Download this concise PDF to quickly revise all key concepts of Permutation and Combination, including important formulas, counting techniques, shortcut tricks, and exam-oriented MCQs with detailed solutions. It is a handy resource for <a href=\"https:\/\/www.oliveboard.in\/ssc-exams\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\">SSC<\/a>,\u00a0<a href=\"https:\/\/www.oliveboard.in\/railway-exams\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\">Railways<\/a> exams to help you practice efficiently and improve your problem-solving speed.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/permutation-and-combination-questions-pdf\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF here<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-practice-permutation-and-combination-questions-live\"><span class=\"ez-toc-section\" id=\"Practice_Permutation_and_Combination_Questions_Live\"><\/span><strong>Practice Permutation and Combination Questions Live<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In the following questions, you will find multiple-choice problems based on Permutation and Combination concepts. Select the correct answer from the given options. Practicing a variety of such questions is essential to strengthen your understanding of counting techniques, improve speed, and enhance accuracy, ultimately helping you score better in competitive exams.<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"UTF-8\">\n<link rel=\"stylesheet\" href=\"https:\/\/courses.oliveboard.in\/edge\/css\/login-modal-for-blog.css\">\n\n<style>\n#quiz-1-sticky-header {\n  position: sticky;\n  top: 0;\n  z-index: 100;\n  background: #1565c0;\n  color: #fff;\n  padding: 12px 20px;\n  border-radius: 10px 10px 0 0;\n  display: flex;\n  justify-content: space-between;\n  align-items: center;\n  font-size: 16px;\n  font-weight: bold;\n  box-shadow: 0 2px 8px rgba(0,0,0,0.2);\n  margin: -20px -20px 20px -20px;\n}\n\n#quiz-1-score-badge {\n  background: rgba(255,255,255,0.2);\n  padding: 4px 12px;\n  border-radius: 20px;\n  font-size: 15px;\n  white-space: nowrap;\n}\n#quiz-1 * { box-sizing: border-box; }\n\n#quiz-1 .quiz-container {\n  max-width: 700px;\n  margin: auto;\n  padding: 20px;\n  background: #fff;\n  border-radius: 14px;\n  box-shadow: 0 6px 16px rgba(0,0,0,0.12);\n}\n\n#quiz-1 h2 {\n  text-align: center;\n}\n\n#quiz-1 .question {\n  margin-bottom: 22px;\n}\n\n#quiz-1 .question p {\n  font-weight: bold;\n}\n\n#quiz-1 button {\n  width: 100%;\n  padding: 12px;\n  margin: 6px 0;\n  border: none;\n  border-radius: 6px;\n  background: #e0e0e0;\n  color: #000;\n  font-size: 16px;\n  cursor: pointer;\n}\n\n#quiz-1 button:hover {\n  background: #d5d5d5;\n}\n\n#quiz-1 button.correct {\n  background: #4caf50;\n  color: #000;\n}\n\n#quiz-1 button.wrong {\n  background: #f44336;\n  color: #000;\n}\n\n#quiz-1 button.locked {\n  pointer-events: none;\n}\n\n\/* SUMMARY *\/\n#quiz-1 .final-summary {\n  margin-top: 40px;\n  padding: 20px;\n  border-radius: 14px;\n  background: #fafafa;\n  border: 2px solid #4caf50;\n}\n\n#quiz-1 .final-summary h3 {\n  text-align: center;\n  margin-bottom: 20px;\n}\n\n#quiz-1 .summary-row {\n  display: grid;\n  grid-template-columns: 120px 1fr 40px;\n  gap: 10px;\n  align-items: center;\n  margin-bottom: 12px;\n  font-weight: bold;\n}\n\n#quiz-1 .summary-bar {\n  height: 14px;\n  background: #ddd;\n  border-radius: 10px;\n  overflow: hidden;\n}\n\n#quiz-1 .bar-fill {\n  height: 100%;\n  width: 0%;\n}\n\n#quiz-1 .bar-attempted { background: #2196f3; }\n#quiz-1 .bar-correct { background: #4caf50; }\n#quiz-1 .bar-wrong { background: #f44336; }\n#quiz-1 .bar-unattempted { background: #9e9e9e; width: 100%; }\n\n#quiz-1 .final-score {\n  text-align: center;\n  font-size: 22px;\n  margin-top: 20px;\n}\n\n#quiz-1 .score-value {\n  font-size: 30px;\n  margin-left: 8px;\n}\n<\/style>\n<\/head>\n\n<body>\n<div id=\"quiz-1\">\n  <div class=\"quiz-container\">\n<div id=\"quiz-1-sticky-header\">\n  <span> Permutation and Combination Questions Live <\/span>\n  <span id=\"quiz-1-score-badge\">Score: <strong id=\"quiz-1-score-value\">0.00<\/strong><\/span>\n<\/div>\n\n    <!-- QUESTIONS -->\n\n<div class=\"question\">\n  <p>Q1. The value of 8! \/ 6! is:<\/p>\n  <button data-correct=\"true\">A. 56<\/button>\n  <button data-correct=\"false\">B. 48<\/button>\n  <button data-correct=\"false\">C. 64<\/button>\n  <button data-correct=\"false\">D. 72<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q2. If n! = 5040, what is the value of n?<\/p>\n  <button data-correct=\"false\">A. 6<\/button>\n  <button data-correct=\"true\">B. 7<\/button>\n  <button data-correct=\"false\">C. 8<\/button>\n  <button data-correct=\"false\">D. 9<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q3. The value of (10! \u2013 9!) \/ 9! is:<\/p>\n  <button data-correct=\"false\">A. 8<\/button>\n  <button data-correct=\"true\">B. 9<\/button>\n  <button data-correct=\"false\">C. 10<\/button>\n  <button data-correct=\"false\">D. 11<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q4. If (n+1)! = 20 \u00d7 (n\u20131)!, find n.<\/p>\n  <button data-correct=\"false\">A. 3<\/button>\n  <button data-correct=\"true\">B. 4<\/button>\n  <button data-correct=\"false\">C. 5<\/button>\n  <button data-correct=\"false\">D. 6<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q5. The value of \u207fP\u2081 for any positive integer n is:<\/p>\n  <button data-correct=\"false\">A. 1<\/button>\n  <button data-correct=\"false\">B. n\u20131<\/button>\n  <button data-correct=\"true\">C. n<\/button>\n  <button data-correct=\"false\">D. n!<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q6. How many 3-digit numbers can be formed using digits 1\u20139 without repetition?<\/p>\n  <button data-correct=\"true\">A. 504<\/button>\n  <button data-correct=\"false\">B. 648<\/button>\n  <button data-correct=\"false\">C. 729<\/button>\n  <button data-correct=\"false\">D. 720<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q7. In how many ways can 6 different books be arranged on a shelf?<\/p>\n  <button data-correct=\"false\">A. 36<\/button>\n  <button data-correct=\"false\">B. 120<\/button>\n  <button data-correct=\"true\">C. 720<\/button>\n  <button data-correct=\"false\">D. 5040<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q8. The number of ways of choosing 4 items from 10 items is:<\/p>\n  <button data-correct=\"true\">A. 210<\/button>\n  <button data-correct=\"false\">B. 5040<\/button>\n  <button data-correct=\"false\">C. 120<\/button>\n  <button data-correct=\"false\">D. 420<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q9. If \u207fC\u2088 = \u207fC\u2082, find n.<\/p>\n  <button data-correct=\"false\">A. 8<\/button>\n  <button data-correct=\"true\">B. 10<\/button>\n  <button data-correct=\"false\">C. 12<\/button>\n  <button data-correct=\"false\">D. 6<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q10. If \u207fP\u2083 = 120, find n.<\/p>\n  <button data-correct=\"false\">A. 4<\/button>\n  <button data-correct=\"false\">B. 5<\/button>\n  <button data-correct=\"true\">C. 6<\/button>\n  <button data-correct=\"false\">D. 7<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q11. In how many ways can the letters of the word PENCIL be arranged?<\/p>\n  <button data-correct=\"false\">A. 360<\/button>\n  <button data-correct=\"true\">B. 720<\/button>\n  <button data-correct=\"false\">C. 120<\/button>\n  <button data-correct=\"false\">D. 5040<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q12. How many arrangements of the letters of the word BANANA are possible?<\/p>\n  <button data-correct=\"false\">A. 720<\/button>\n  <button data-correct=\"false\">B. 360<\/button>\n  <button data-correct=\"true\">C. 60<\/button>\n  <button data-correct=\"false\">D. 120<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q13. In how many ways can the letters of MISSISSIPPI be arranged?<\/p>\n  <button data-correct=\"true\">A. 34650<\/button>\n  <button data-correct=\"false\">B. 69300<\/button>\n  <button data-correct=\"false\">C. 17325<\/button>\n  <button data-correct=\"false\">D. 27720<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q14. How many 4-digit numbers can be formed using digits 0\u20139 if repetition is allowed?<\/p>\n  <button data-correct=\"false\">A. 10000<\/button>\n  <button data-correct=\"true\">B. 9000<\/button>\n  <button data-correct=\"false\">C. 5040<\/button>\n  <button data-correct=\"false\">D. 4536<\/button>\n<\/div>\n\n<div class=\"question\">\n  <p>Q15. In how many ways can 5 students be seated in a row?<\/p>\n  <button data-correct=\"false\">A. 25<\/button>\n  <button data-correct=\"false\">B. 60<\/button>\n  <button data-correct=\"true\">C. 120<\/button>\n  <button data-correct=\"false\">D. 720<\/button>\n<\/div>\n\n    <!-- FINAL SUMMARY -->\n    <div class=\"final-summary\">\n      <h3>Quiz Summary <\/h3>\n\n      <div class=\"summary-row\">\n        <span>Attempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-attempted\" data-summary=\"attempted\"><\/div><\/div>\n        <span data-count=\"attempted\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Correct<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-correct\" data-summary=\"correct\"><\/div><\/div>\n        <span data-count=\"correct\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Wrong<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-wrong\" 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It\u2019s often used in questions related to digits, alphabets, passwords, seating arrangements, and more.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-skills-required\">Skills Required:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Logical reasoning<\/li>\n\n\n\n<li>Basic number theory<\/li>\n\n\n\n<li>Visualisation &amp; scenario analysis<\/li>\n\n\n\n<li>Understanding of constraints in a problem<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-why-is-permutation-and-combination-important-in-competitive-exams\"><span class=\"ez-toc-section\" id=\"Why_is_Permutation_and_Combination_Important_in_Competitive_Exams\"><\/span>Why is Permutation and Combination Important in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Permutation and Combination is considered as a tough topic for many aptitude-based competitive exams. Questions are often direct and formula-based, making it scoring with the right practice.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td>SSC CGL \/ CHSL<\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td>IBPS PO \/ SBI PO<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><tr><td>RRB NTPC \/ Group D<\/td><td>1<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-permutation-and-combination-quantitative-aptitude-short-notes\"><span class=\"ez-toc-section\" id=\"Permutation_and_Combination_Quantitative_Aptitude_Short_Notes\"><\/span>Permutation and Combination Quantitative Aptitude Short Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Some of the common terms used for permutation and combination questions are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Term<\/strong><\/td><td><strong>Definition<\/strong><\/td><\/tr><tr><td>Factorial (n!)<\/td><td>Product of all positive integers up to n. For example, 5! = 5\u00d74\u00d73\u00d72\u00d71 = 120<\/td><\/tr><tr><td>Permutation (nPr)<\/td><td>Number of ways to arrange r items from n distinct items: nPr = n! \/ (n\u2013r)!<\/td><\/tr><tr><td>Combination (nCr)<\/td><td>Number of ways to select r items from n distinct items: nCr = n! \/ (r!(n\u2013r)!)<\/td><\/tr><tr><td>Repetition Allowed<\/td><td>Permutations or combinations where repetition is allowed<\/td><\/tr><tr><td>Circular Permutation<\/td><td>Arrangement in a circle. (n \u2013 1)! ways if clockwise\/anti-clockwise are same<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-concepts-based-on-permutation-and-combination\"><span class=\"ez-toc-section\" id=\"Concepts_Based_on_Permutation_and_Combination\"><\/span>Concepts Based on Permutation and Combination<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Some of the concepts used in permutation and combination questions are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Concept<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>nPr = n! \/ (n \u2013 r)!<\/td><td>Use when <strong>order matters<\/strong> in the arrangement<\/td><\/tr><tr><td>nCr = n! \/ (r!(n \u2013 r)!)<\/td><td>Use when <strong>order does not matter<\/strong> in selection<\/td><\/tr><tr><td>Circular Permutation<\/td><td>(n \u2013 1)! if there\u2019s no fixed starting point<\/td><\/tr><tr><td>Permutation with Repetition<\/td><td>n^r when each of r positions can have any of n items<\/td><\/tr><tr><td>Identical Items<\/td><td>Total permutations = n! \/ (p! \u00d7 q! \u00d7 \u2026) where p, q are identical item counts<\/td><\/tr><tr><td>nCr = nC(n \u2013 r)<\/td><td>Symmetry property of combinations<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-are-the-types-of-permutation-and-combination-questions-in-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"What_Are_the_Types_of_Permutation_and_Combination_Questions_in_Quantitative_Aptitude\"><\/span>What Are the Types of Permutation and Combination Questions in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In SSC, Banking, and RRB exams, Permutation questions can appear in various forms:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Direct Formula-Based Questions<\/strong> \u2013 Simple application of nPr or nCr<\/li>\n\n\n\n<li><strong>Repetition\/Restriction-Based Questions<\/strong> \u2013 Includes digits\/letters with specific constraints<\/li>\n\n\n\n<li><strong>Circular Arrangement<\/strong> \u2013 People seated in a circle; often appears in SSC exams<\/li>\n\n\n\n<li><strong>Digit\/Word Formation Puzzles<\/strong> \u2013 Using alphabets or numbers to form new codes<\/li>\n\n\n\n<li><strong>Mixed Concept<\/strong> \u2013 Includes logical conditions + counting + arrangement<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-permutation-and-combination-formulas-for-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"Permutation_and_Combination_Formulas_for_Quantitative_Aptitude\"><\/span>Permutation and Combination Formulas for Quantitative Aptitude<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Some of the used formulas for the permutation and combination are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>nPr = n! \/ (n \u2013 r)!<\/li>\n\n\n\n<li>nCr = n! \/ [r!(n \u2013 r)!]<\/li>\n\n\n\n<li>nCr = nC(n \u2013 r)<\/li>\n\n\n\n<li>nPn = n!<\/li>\n\n\n\n<li>Number of circular permutations = (n \u2013 1)!<\/li>\n\n\n\n<li>Permutations with repetition = n^r<\/li>\n\n\n\n<li>Permutations with identical items = n! \/ (p! \u00d7 q! \u00d7 \u2026)<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-permutation-and-combination-tricks-for-ssc-cgl-and-other-exams\"><span class=\"ez-toc-section\" id=\"Permutation_and_Combination_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>Permutation and Combination Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Tricks used for permutation and combination are as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Order matters? \u2192 Use Permutation<\/li>\n\n\n\n<li>Selection only? \u2192 Use Combination<\/li>\n\n\n\n<li>Use symmetry: nCr = nC(n\u2013r) to simplify calculations<\/li>\n\n\n\n<li>Look for restrictions early: e.g., vowel must come first<\/li>\n\n\n\n<li>Eliminate impossible cases before calculating possibilities<\/li>\n\n\n\n<li>In circular arrangements, fix one position to avoid repetitions<\/li>\n\n\n\n<li>Use digit rules: For forming even\/odd numbers, focus on last digit first<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-common-mistakes-to-avoid-while-solving-permutation-and-combination\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_Permutation_and_Combination\"><\/span>Common Mistakes to Avoid while Solving Permutation and Combination<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Common mistakes to avoid while solving these types of questions are as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Confusing permutation with combination<\/strong> \u2013 Always ask: \u201cDoes order matter?\u201d<\/li>\n\n\n\n<li><strong>Ignoring constraints<\/strong> \u2013 e.g., \u201cmust start with vowel\u201d changes total cases<\/li>\n\n\n\n<li><strong>Overusing repetition<\/strong> \u2013 Check if repetition is allowed or not<\/li>\n\n\n\n<li><strong>Incorrect factorial simplification<\/strong> \u2013 Practice factorial shortcuts<\/li>\n\n\n\n<li><strong>Misunderstanding circular permutations<\/strong> \u2013 Fix one position to avoid overcounting<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-toppers-mock-test-analysis\/?ref=contmk-blog-pacq\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><strong>Check SSC CGL Toppers Mock Test Analysis<\/strong><\/strong><\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1754565056002\"><strong class=\"schema-faq-question\">Q1. What is the basic difference between permutation and combination?<\/strong> <p class=\"schema-faq-answer\">Permutation is for arrangement (order matters), combination is for selection (order doesn&#8217;t matter).<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754565057030\"><strong class=\"schema-faq-question\">Q2. When should I use nPr and when nCr?<\/strong> <p class=\"schema-faq-answer\">Use nPr when order matters, use nCr when it doesn&#8217;t.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754565058124\"><strong class=\"schema-faq-question\">Q3. What is the formula for circular permutation?<\/strong> <p class=\"schema-faq-answer\">(n \u2013 1)! when clockwise\/anticlockwise arrangements are considered the same.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754565058637\"><strong class=\"schema-faq-question\">Q4. Can repetition be allowed in permutations?<\/strong> <p class=\"schema-faq-answer\">Yes, repeated items in r places from n elements = n^r.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754565059300\"><strong class=\"schema-faq-question\">Q5. Is there a shortcut to solve word formation problems?<\/strong> <p class=\"schema-faq-answer\">Count letters, check for repetition, and apply n! \/ repetition factorials.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-topics-wise-quizzes\/\">Attempt SSC CGL Topic Wise Free Quizzes &amp; Download PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-study-material\/\">SSC CGL Study Material 2026, Get Tier-1 and Tier-2 Notes &amp; PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-eligibility-criteria-in-hindi\/\">SSC CGL \u092f\u094b\u0917\u094d\u092f\u0924\u093e 2026, \u0906\u092f\u0941 \u0938\u0940\u092e\u093e, \u0936\u0948\u0915\u094d\u0937\u093f\u0915 \u092f\u094b\u0917\u094d\u092f\u0924\u093e, \u0936\u093e\u0930\u0940\u0930\u093f\u0915 \u092e\u093e\u0928\u0926\u0902\u0921 \u0914\u0930 \u0905\u0928\u094d\u092f \u091c\u093e\u0928\u0915\u093e\u0930\u0940\u0964<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/can-final-year-students-apply-for-ssc-cgl\/\">Can Final Year Students Apply for SSC CGL 2026? 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It deals with counting,<\/p>\n","protected":false},"author":58,"featured_media":243459,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,10231],"tags":[],"class_list":["post-223838","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bank-exams","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Permutation and Combination Formulas, Short Tricks, and Tips<\/title>\n<meta name=\"description\" content=\"Understand the process of solving permutation and combination questions, along with the formulas used and time-saving short tricks and tips.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Permutation and Combination Formulas, Short Tricks, and Tips\" \/>\n<meta property=\"og:description\" content=\"Permutation and Combination is a crucial topic in the Quantitative Aptitude section of various competitive exams. 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I work as a Content Writer at Oliveboard, where I have been simplifying exam-related content for the past 4 years. I create clear and easy-to-understand guides for JAIIB, CAIIB, and UGC exams. My work includes breaking down notifications, admit cards, and exam updates, as well as preparing study plans and subject-wise strategies. My goal is to support working professionals in managing their exam preparation alongside a full-time job and to help them achieve career growth.\",\"sameAs\":[\"www.linkedin.com\/in\/aditi-chakraborty-131b3b379\"]},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#faq-question-1754565056002\",\"position\":1,\"url\":\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#faq-question-1754565056002\",\"name\":\"Q1. What is the basic difference between permutation and combination?\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Permutation is for arrangement (order matters), combination is for selection (order doesn't matter).\",\"inLanguage\":\"en-US\"},\"inLanguage\":\"en-US\"},{\"@type\":\"Question\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#faq-question-1754565057030\",\"position\":2,\"url\":\"https:\/\/www.oliveboard.in\/blog\/permutation-and-combination\/#faq-question-1754565057030\",\"name\":\"Q2. 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