The sentence in option (c) is incorrect. The preposition 'among' should be replaced with 'between' to rectify the given sentence.
We use 'among' to talk about things which are not clearly separated because they are part of a group or crowd or mass of objects. We use 'between' to refer to two things which are clearly separated. So, to talk about the relationship between two individuals, the preposition 'between' is the correct choice.
Hence, option (c) is the correct answer.
Note:
A Preposition is a word placed before a noun or a pronoun or a noun equivalent (pronoun, adverb, gerund, infinitive, adverbial clause, or any clause that can be used as the object of the preposition) and shows a relationship in space or time or a logical relationship between two or more people, places, or things in a sentence.
Examples
I. The teacher scolded the child for being late.
II. We're going to a party.
· The words in bold are called prepositions because they normally take position before (pre) a noun/pronoun or a noun equivalent (pronoun, adverb, gerund, infinitive, adverbial clause, or any clause that can be used as the object of the preposition.
· The noun/pronoun which is used with a preposition is called its Object.