A starting lineup in basketball consists of two guards, two forwards, and a center. a. A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or 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.] b. Now suppose the roster has 5guards, 5 forwards, 3 centers, and 2 "swing players"(X and Y) who can play either guard or forward. If 5 of the 15 players are randomly selected, what is the probability that they constitute a legitimate starting lineup?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
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A starting lineup in basketball consists of two guards, two forwards, and a center.

a. A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or 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.]

b. Now suppose the roster has 5guards, 5 forwards, 3 centers, and 2 "swing players"(X and Y) who can play either guard or forward. If 5 of the 15 players are randomly selected, what is the probability that they constitute a legitimate starting lineup?

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