Question

Fourteen people are entered in a race. If there are no ties, how many ways can the first three places come out?

Answer 1

See explanation.

Explanation:

The winner is one of `14` people, the second runner can be chosen from `13` people (one person is already the winner), the third can be chosen from `12` people (two people are already at first and second place), so the total number of possibilities is:

`n=14*13*12=2184`