combinatorics and probability

Question

A committee of 6 people is chosen from 8 women and 8 men. How many different committees are possible that consists of 3 women and 3  men ?

Answer 1

There are 8 choose 3 ways you can select 3 men and 8 choose 3 ways to select 3 women. Men and women are distinct groups (independent selections) so the number of ways to select the committee with 3 men and 3 women is (8 choose 3) × (8 choose 3).