SOLUTION: The coach from a soccer team of 15 players must select 11 players for the start of a game. a)Of the 11 players he must select 1 player as the field captain. How many ways can the

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Question 1011775: The coach from a soccer team of 15 players must select 11 players for the start of a game.
a)Of the 11 players he must select 1 player as the field captain. How many ways can the coach make these selections?
b) Before the game, all the players line up in a straight line for a team photograph. If 2 players, Michaela and Aleah must ne together, then how many different arrangements can be made for the picture?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The coach from a soccer team of 15 players must select 11 players for the start of a game.
a)Of the 11 players he must select 1 player as the field captain. How many ways can the coach make these selections?
Ans: 15C11*11C1 = 15015
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b) Before the game, all the players line up in a straight line for a team photograph. If 2 players, Michaela and Aleah must be together, then how many different arrangements can be made for the picture?
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# of ways they CAN be together:: 14
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# of arrangements with M and A together:: 14*13!
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Cheers,
Stan H.
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