Quick permutations question?

In how many ways can 4 jokes be ranked from best to worst from a list of 10?

A bit confused on what to do here. Would this be 4^10?

1 Answer
Dec 22, 2017

""^10 P_4 = 5040

Explanation:

Given that you are choosing a list of 4 items from 10, you will have 10 possible choices for the first item, 9 for the second, 8 for the third and 7 for the fourth.

So a total of 10xx9xx8xx7 = 5040

This product is known as ""^10 P_4 = (10!)/((10-4)!)