Question: Ten people try out for the women’s basketball team. Three of the women are taller than 6’ 4”, and the rest of the women are 6’ 2” or under.

a. Assuming any of the women can plan any position, how many different teams of five players can be chosen?

b. Assume that at least one woman on the team has to be taller than 6’ 4” to play center. How many different teams of five players can be chosen?