A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A certain...1 answer below »

A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A certain college team has on its roster five guards, four forwards, and three centers. How many different starting lineups can be created? (b) Their opposing team in one particular game has three centers, four guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can the opposing team create? [Hint: Consider lineups without X, with X as a guard, and with X as a forward.] (c) Now suppose a team has 4 guards, 4 forwards, 2 centers, and two players (X and Y) who can play either guard or forward. If 5 of the 12 players on this team are randomly selected, what is the probability that they constitute a legitimate starting lineup?

May 05 2021 09:25 AM

1 Approved Answer

ADIMULAM V
answered on
May 07, 2021

5
Ratings,(12 Votes)

A) Number of possible teams from five guards, four forwards and three centres = 5C2 x 4C2 x 3C1 = 180

## 1 Approved Answer

May 07, 2021A) Number of possible teams from five guards, four forwards and three centres = 5C2 x 4C2 x 3C1 = 180

B) Number of teams possible when the...

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