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?

Guest Feb 24, 2021

#1**+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.

CubeyThePenguin Feb 24, 2021

#2**+1 **

Agree with the Penguin

Here is another solution:

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

ElectricPavlov Feb 24, 2021