A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A...

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A starting lineup in basketball consists of two guards, twoforwards, and a center. (a) A certain college team has on itsroster four centers, four guards, three forwards, and oneindividual (X) who can play either guard or forward. How manydifferent starting lineups can be created? [Hint: Consider lineupswithout X, then lineups with X as guard, then lineups with X asforward.]

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