Option (a): Interchanging 2 and 4
72 - 6 + (18 ÷ 2) + 17 - (22 X 4) = 44
72 - 6 + 9 + 17 - 88 = 44
72 - 6 + 26 - 88 = 44
72 + 20 - 88 = 44
92 - 88 = 44
4 ≠ 44
LHS is not equal to RHS.
So, option (a) is incorrect.
Option (b): Interchanging 22 and 18
72 - 6 + (22 ÷ 4) + 17 - (18 X 2) = 44
72 - 6 + 5.5 + 17 - 36 = 44
72 + 16.5 - 36 = 44
88.5 - 36 = 44
52.5 ≠ 44
LHS is not equal to RHS.
So, option (b) is incorrect.
Option (c): Interchanging 6 and 22
72 - 22 + (18 ÷ 4) + 17 - (6 X 2) = 44
72 - 22 + 4.5 + 17 - 12 = 44
72 - 22 + 21.5 - 12 = 44
72 - 0.5 - 12 = 44
59.5 ≠ 44
LHS is not equal to RHS.
So, option (c) is incorrect.
Option (d): Interchanging 6 and 4
72 - 4 + (18 ÷ 6) + 17 - (22 X 2) = 44
72 - 4 + 3 + 17 - 44 = 44
72 - 4 + 20 - 44 = 44
72 + 16 - 44 = 44
88 - 44 = 44
44 = 44
LHS is equal to RHS.
So, option (d) is correct.