There are 8 men and 8 women and you need to form a committee of 4 men and 6 women. In how many ways can the committee be formed?

You are choosing 4 out of 8 men:  ₈C₄  =  70  ways.

You are choosing 6 our of 8 women:  ₈C₆  =  28 ways.

 

To find the final answer, multiply these together.