Question

An 8-person committee is to be formed from a group of 15 women and 12 men.

In how many ways can the committee be formed if the committee must contain four men and four women?

Answer 1

1860 WAYS

Explanation:

Combination is the technique used to compute the selection of items based on given criteria.

ⁿₐC = n!/(n - a)! a!

The number of ways an 8-person committee of 4 men and 4 women is to be formed from a group of 15 women and 12 men

= 15 ₄C + 12₄C

= 15!/(15 - 4)!4! + 12!/(12 - 4)!4!

= 1365 + 495

= 1860 WAYS