There are 15 figure skaters in the Olympic women's competition, including 4 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 15 figure skaters?
The number of ways is 15*14*13 = 2820.
15 x 14 x 13 = 2730 ways
or n P r = 15 P 3 = 2730 ways