There are 16 boys and 16 girls eligible to swim on a mixed relay. In how many ways could the relay team be chosen if the team must contain 2 boys and 2 girls.

Question

Note: the order of the swimmers on the relay matters.

Answer 1

There are 16C2 ways to choose the girls and the boys.
There are 4! ways to arrange the 4 choices. So,
16C2 * 16C2 * 4! = 120^2 * 24 = 345,600 ways

Answer 2

What would the difference be if instead of 16 girls and boys there were 11 or each?