Five students are running for Junior class president. They draw straws to see who will go first, second, etc. In how many different orders could they give their speeches?

There are 5 choices for the first selection, 4 choices for the second, etc etc until we reach 1 for the last selection. We have the countdown {5,4,3,2,1}. We'll multiply those values together to get our answer.

5*4*3*2*1 = 120

This operation of starting with some integer, counting down and multiplying along the way, is done so very often that it's given a name which is "factorial". The shorthand notation is to use an exclamation mark. So we'd say 5! = 120

Five students are running for Junior class president. They draw straws to see who will go first, second, etc. In how many different orders could they give their speeches?​

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Answer: 120

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Five students are running for Junior class president. They draw straws to see who will go first, second, etc. In how many different orders could they give their speeches?