The team manager is looking at the pitchers on the roster and decides to try a staff that is all right- handed or all left-handed. He needs to put 5 into the starting rotation, where they will be given
assigned starts, and 5 will go into the bullpen where they can be used in any game, in any order
There are 11 righties and 12 lefties on his roster
How many different pitching staffs can he create?
What is the probability that the pitching staff is right-handed? left-handed?