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, five 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.] 700 X lineups (b) Now suppose the roster has 5 guards, 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? (Round your answer to three decimal places.)
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, five 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.] 700 X lineups (b) Now suppose the roster has 5 guards, 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? (Round your answer to three decimal places.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 four centers, five 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.]
700
X lineups
(b) Now suppose the roster has 5 guards, 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? (Round your answer to three decimal places.)
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Transcribed Image Text: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, five 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.]
700
X lineups
(b) Now suppose the roster has 5 guards, 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? (Round your answer to three decimal places.)
Need Help?
Read It
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