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How many ways are there to select a committee of 17 politicians chosen from a room...

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Basic Math

How many ways are there to select a committee of 17 politicianschosen from a room full of indistinguishable Democrats,indistinguishable Republicans, indistinguishable Independents ifevery party must have at least two members on the committee? If, inaddition, no group have a majority of the committee members?

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3.8 Ratings (652 Votes)
We break it into 2 parts 1 Find out how many committees are possible with at least 2 from each party there are 3 parties This number will have no restrictions on majority 2 Find out how many possible cases are there to get a majority and subtract this value we get from 1 Case 1 Out    See Answer
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