Example 1:

In how many ways can a committee of 1 man and 3 women can be formed from a group of 3 men and 4 women?

Solution: No. of ways 1 man can be selected from a group of 3 men = 3C1 = 3! / 1!(3-1)! = 3 ways.

No. of ways 3 women can be selected from a group of 4 women = 4C3 = 4! / (3!*1!) = 4 way