In how many ways can a committe of 5 boys and 4 girls be for

In how many ways can a committe of 5 boys and 4 girls be formed from a group of 21 high school students if only one third of that group is girls?

Please show work.

Solution

There are 7 girls and 14 boys.

Thus, there are 14C5 ways to choose 5 boys, and 7C4 ways to choose girls.

Thus,

P(5 boys, 4 girls) = (14C5)*(7C4) = 70070 ways [ANSWER]