Question

A certain club consists of 5 men and 6 women. a) How many ways are there to form a committee of 3 people and b) How many ways are there to form a committee consisting of 3 men and 4 women.

Answer 1

a) you would simply choose 3 of the 11
= C(11,3) = 165

b) 3 men of 5, 4 women of 6
= C(5,3) x C(6,4)
= 10x15 = 150

Answer 2

c d