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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1

Let there are 6 shirts of different colours and 6 trousers of same colours as that of shirts. If the number of ways in which these can be put on by 5 men such that no men wear the shirt and the trouser of the same colour is

(k) 6!,

then find the value of

k

.

View answer and explanation

Correct option: A

309

Option A (309) is correct because it's derived from using derangements and combinations to calculate the number of ways 5 men can wear shirts and trousers of different colors, then solving for k.

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n