A starting lineup in basketball consists of two guards, twoforwards, and a center. (a) A certain college team has on itsroster three centers, five 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.] Correct: Your answer is correct. lineups (b) Now supposethe roster has 3 guards, 5 forwards, 3 centers, and 2 "swingplayers" (X and Y) who can play either guard or forward. If 5 ofthe 13 players are randomly selected, what is the probability thatthey constitute a legitimate starting lineup? (Round your answer tothree decimal places.)
