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I need help with this question 

 

There are $15$ runners 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 $15$ runners?

 May 3, 2020
 #1
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The number of ways is 15*3*14*2*13*1 = 16380.

 May 3, 2020
 #2
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\(15 \cdot 14 \cdot 13 = \boxed{2730}\)

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 May 3, 2020

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