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
George C.
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)!)#

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