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In a club with $50$ members, four of the members are running for president. Each of the $50$ members votes for one of the four candidates. How many different vote counts are possible?

 

In a club with  members, four of the members are running for president. Each of the  members votes for one of the four candidates. How many different vote counts are possible?

 Feb 27, 2020
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By the method of stars and bars, the number of ways is C(52,4) = 270725.

 Feb 27, 2020

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