You want to choose a fund raising committee of 5 people from 7 men and 8 women.How many ways can this be done?

The number of ways to choose a committee of 5 people from a group of 15 people can be calculated using the combination formula:

C(n, k) = n! / (k!(n-k)!)

Where n is the total number of people (15) and k is the number of people to choose (5).

C(15, 5) = 15! / (5!(15-5)!)
C(15, 5) = 3003

Therefore, there are 3003 ways to choose a fund raising committee of 5 people from a group of 7 men and 8 women.

The number of ways to choose a fund raising committee of 5 people from 7 men and 8 women is:

C(7,2) - C(8,3) = 21 - 56 = 1176