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

1 Answer
Daniel L.
May 18, 2018

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

Related questions
Impact of this question
2038 views around the world
You can reuse this answer
Creative Commons License