Picking a basketball team. Suppose you are to choose a basketball team (five players) from eight available

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Picking a basketball team. Suppose you are to choose a basketball team (five players) from eight available athletes.

a. How many ways can you choose a team (ignoring positions)?

b. How many ways can you choose a team composed of two guards, two forwards, and a center?

c. How many ways can you choose a team composed of one each of a point guard, shooting guard, power forward, small forward, and center?

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