The University of Montana ski team has fourteen entrants in

The University of Montana ski team has fourteen entrants in a men\'s downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the fourteen team entrants achieve first, second, and third places?

Solution

As order matters, we do permutations.

Thus, there are

14P3 = 14!/(14-3)! = 2184 WAYS [ANSWER]