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Suppose for this problem (though it may not be accurate in real life) that the Senate has  47 Republicans and  53 Democrats. In how many ways can we form a 3-senator committee?

 Sep 14, 2021
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100 c 3 = 100!/(97!3!) = 161 700 ways

 Sep 14, 2021
edited by ElectricPavlov  Sep 14, 2021

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