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A certain club has 50 people, and 4 members are running for president. Each club member votes for one of the 4 candidates. How many different possible vote totals are there?

 

A certain club has 50 people, and 4 members are running for president. Each club member either votes for one of the 4 candidates, or can abstain from voting. How many different possible vote totals are there?

 Jun 20, 2020
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For the first problem, by stars and bars, the number of ways is C(51,4) = 249900.

 

For the second problem, by stars asnd bars, the number of ways is C(51,5) = 2349060.

 Jun 20, 2020

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