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There are 8 sprinters in the Olympic 100-meter finals, but 2 of them are disqualified. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded?

 Aug 27, 2021
 #1
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If 2 are disqualified, then the remaining 6 have:

 

6 ways for 1st place

5 ways for 2nd place

4 ways for the 3rd place

 

So: There are: 6 x 5 x 4 ==120 ways that the 3 medals can be awarded.

 Aug 27, 2021

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