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Suppose for this problem (though it may not be accurate in real life) that the Senate has  Republicans and  Democrats. In how many ways can we form a -senator committee in which neither party holds all  seats?
 

 Jun 23, 2020
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Sorry the numbers didn't show up correctly. Here is the problem again:

 

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 in which neither party holds all  seats?

 
 Jun 23, 2020

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