7. [1/2 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 2.3.042. MY NOTES ASK YOUR TEACHER A starting lineup in basketball

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7 1 2 Points Details Previous Answers Devorestat9 2 3 042 My Notes Ask Your Teacher A Starting Lineup In Basketball 1 (100.43 KiB) Viewed 16 times

7. [1/2 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 2.3.042. MY NOTES ASK YOUR TEACHER A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A certain college team has on its roster four centers, four guards, five forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.] 520 lineups (b) Now suppose the roster has 4 guards, 5 forwards, 3 centers, and 2 "swing players" (X and Y) who can play either guard or forward. If 5 of the 14 players are randomly selected, what is the probability that they constitute a legitimate starting lineup? (Round your answer to three decimal places.)