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A starting lineup in basketball consists of two guards, two forwards, and a center (a) A certain college learn has on its roster three centers, five guards, three forwards, and one individual (X) who can play either guard or forward. How many different slarting lneps can be crealed? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.! lineups (b) Now suppose the roster has 5 guards, 4 forwards, 4 centers, and 2 swing players (X and Y) ho can play either guard or forward. If 5 of the 15 players are randomly selected, what is the probability that they constitute a legitmate starting lineup? (Round your answer to three decimal places.) 341

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