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In a small school, 5 centers, 8 guards, and 6 forwards try out for the basketball team. (a) How many five-member teams can be

In a small school, 5 centers, 8 guards, and 6 forwards try out for the basketball team. (a) How many five-member teams can be formed from these players? (Assume a team has two guards, two forwards, and one center.) (b) Intercollegiate regulations require that no more than 8 players can be listed for the team roster. How many rosters can be formed consisting of exactly 8 players?

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