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avatar+559 

Our football team has  members, of which only  are strong enough to play offensive lineman, while all other positions can be played by anyone. In how many ways can we choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver?

 Dec 7, 2022
 #1
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There are (11 choose 1) x (11 choose 1) x (5 choose 1) x (11 choose 1) = 48,060 possible ways to choose a starting lineup.

 Dec 7, 2022
 #2
avatar+559 
+6

Sorry about the blank numbers... :)

10 members, 3 are strong enough to play offensive lineman

 Dec 7, 2022
 #3
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The number of possible lineups is 4620.

 Dec 7, 2022

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