Question

There are $7$ men and $8$ women. In how many ways a committee of $4$ members can be made such that a particular woman is always included

Answer 1

Excluding the woman which is selected we have to select 3 members from the rest 15

So total no. of ways = ${}^{14}{c}_3$ = $\frac{14\times 13\times 12}{3\times 2\times 1}$

=$364$