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There are 15 skaters in the Olympic women's competition, including 4 Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the 15 skaters, if exactly one of the Americans wins a medal?

 May 26, 2020
edited by Guest  May 26, 2020
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There are 3 groups of skaters as follows:

 

4 x 11 x 10 =440 ways. But 1st,  2nd and 3rd prizes can be awarded in 3! =6 ways.

 

Therefore, there are: 440 x 6 =2,640 ways.

 May 26, 2020

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