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 fi

Question

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 .

Quantrex Academy · Accepted Answer

Correct answer: 309

aligned ^6 C₅ 5 ! (44+ ^5 C₁(9+44) ) & =(309) 6 ! k & =309 aligned

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 .

Correct answer

Step-by-step solution

More from Permutation and Combination