Let x be the number of permutations of the word 'PERMUTATIONS' and y be the number of permutations of the word 'COMBINATIONS'. Which one of the following is correct?

NDA 2023 Mathematics question

Let be the number of permutations of the word 'PERMUTATIONS' and be the number of permutations of the word 'COMBINATIONS'. Which one of the following is correct?

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

PERMUTATIONS has 12 letters with only T repeated twice: . COMBINATIONS has 12 letters with

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Question ID VK-029560