Twelve players are waiting on the sidelines to play pick-up basketball at Penwell Gym. Five players are needed to play the winners of the game currently in progress.
a. How many different teams (combinations) of size fve could be selected from the group of 12 waiting players?
b. Suppose four of the waiting players consider themselves to be guards and the remaining eight consider themselves to be forwards. How many different sub-groups (teams) of fve could you orm that would include exactly two guards and three forwards?