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5. You are a coach of a basketball team that has eight players. At all times,...

5. You are a coach of a basketball team that has eight players. At all times, five players can be on the floor.
a. How many different teams of players can be put on the floor assuming you ignore positions?
b. How many different teams of players can be put on the floor if you assume the positions of point guard, shooting guard, power forward, small forward, and center?
c. How many different teams of players can be put on the floor if you assume the positions of two guards, two forwards, and one center?

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