Five members from a group of 6 girls and 5 boys are chosen. How many five-member teams are there that include more than two boys?
more than 2 boys
= 3 boys or 4 boys or 5 boys
= C(5,3)C(6,2) + C(5,4)C(6,1) + C(5,5)C(6,0)
= ....
you do the arithmetic