In how many ways can a committee of two men and three women

In how many ways can a committee of two men and three women be formed from a group of twelve men and nine women?

Solution

Here we choose 2 men from 12 mens and 3 women from 9 women

then number of ways can a committee of two men and three women be formed from a group of twelve men and nine women = (¹²C₂) * (⁹C₃) = 66 * 84 = 5544 ways