Question 250678: In how many different ways can the top eleven new indie bands be ranked on a top eleven list? The top hit song for each of the eleven bands will compete to receive monetary rewards of $1000, $500, and $250, respectively. In how many ways can the awards be given out?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In how many different ways can the top eleven new indie bands be ranked on a top eleven list?
Ans: 11! = 39,916,800 ways
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The top hit song for each of the eleven bands will compete to receive monetary rewards of $1000, $500, and $250, respectively. In how many ways can the awards be given out?
Number of ways to pick three winners: 11C3
Number of ways to assign the awards to the three selected: 3! = 6
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# of ways in which the awards can be given out: 6*11C3 = 990 ways
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Cheers,
Stan H.
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