There are 19 figure skaters in the Olympic women's competition, including 3 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 skaters?

Question

There are 19 figure skaters in the Olympic women's competition, including 3 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 skaters?

kinggeorge · Answer

How familiar are you with combinations and permutations?

anonymous · Answer

I'm okay

anonymous · Answer

not really familar with permutations

kinggeorge · Answer

So before I do anything here, how do would you solve this problem? What are your thoughts on this?