Suppose m men and n women are to be seated in a row so that no two women sit together. If m>n, show that the number of ways in which they can be seated is `(lfloormlfloorm+1)/(lfloorm-n+1)`

In how many ways 7 men and 7 women can be seated around a round table such that no two women can sit together

If m red balls and n white balls are placed in a row so that no two white balls are together, prove that if m > n, the total number of ways in which this can be done is ""^(m+1)C_(n) .

In how many ways can 6 girls and 4 boys be seated in a row so that no two boys are together?

In how many ways can 4 boys and 3 girls be seated in a row so that no two girls are together ?

In how many ways can 5 boys and 3 girls sit in a row so that no two girls are together ?

There are 2n guests at a dinner party. Supposing that eh master and mistress of the house have fixed seats opposite one another and that there are two specified guests who must not be placed next to one another, show that the number of ways in which the company can be placed is (2n-2!)xx(4n^2-6n+4)dot

The number of ways in which 6 men and 5 women can sit at a round table if no two women are to sit together is given by :

A student is allowed to select atmost n books from a collection of (2n + 1) books. If the number of ways in which he can do this is 64, find n.

In how many ways can 5 girls be seated in a row so that two girls Ridhi and Sanya are always together?

The number of ways in which n distinct objects can be put into two different boxes is: