Question

A committee consisting of 5-studnts is to be formed out of 10, of which 4-are females and 6-are males. How many committees can be formed if 3 males are to be included

Answer 1

120 committees can be formed if 3 males are to be included

Explanation:

Total members in the committee = 5

Out of 10 people, 6 are males and 4 are females

In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4

Total number of outcomes = 4C2 * 6C3

Total number of outcomes = 6 * 20 = 120