How many ways are there for 15 track runners to win 1st place, 2nd place and 3rd place?

2,730 ways. You multiply 15x14x13 to get the answer of 2,730.

Further explanation: when you are looking for ways to find 1st place you have 15 ways total. After one of those spots are taken, you have one less way and therefore have 14 ways. Subtract one more way and you have 13 ways left. You multiply these together and that is how you get the answer <3