Question

In how many ways can a committee of five people be selected from seven women and nine men if at least one woman must be in the committee?

Answer 1

Number of ways to choose 5 from 9 men
=(9,5)
Number of ways to choose 5 from all 16
=(16,5)

Number of ways to select 5 from 9 men and 7 women with at least one woman
=(16,5)-(9,5)

Answer 2

125