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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?

 Feb 24, 2021
 #1
avatar+964 
+1

There are a total of 6 racers that medals could be awarded to.

 

There are 6 choices to pick a gold medalist, 5 choices for a silver medalist, and 4 choices for a bronze medalist. So, there are 120 ways.

 Feb 24, 2021
 #2
avatar+34376 
+1

Agree with the Penguin

  Here is another solution:

6 P 3 = 6!/(6-3) !  =  6! / 3!  = 120 ways

 Feb 24, 2021
edited by ElectricPavlov  Feb 24, 2021

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