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a) four members are running for president in a society with members. how many different vote counts are possible, if each of the members vote for one of the four candidates?

b) four members are running for president in a society with 50 members. how many different vote counts are possible, if each of the members vote for one of the four candidates, or can choose to abstain?

 Dec 31, 2019
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a) By stars-and-bars, the number of ways is C(52,4) = 270725.

 

b) By stars-and-bars, the number of ways is C(52,5) = 2598960.

 Dec 31, 2019

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