In how many ways can we select a committee of three men and three women from a group composed of four men and five women?

Question

Quizplus · Accepted Answer

The number of ways to select a committee of three men from a group of four men is 4C3 = 4. The number of ways to select a committee of three women from a group of five women is 5C3 = 10. The number of ways to select a committee of three men and three women is 4C3 * 5C3 = 40.

In How Many Ways Can We Select a Committee of Three