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

How many ways are there to select a committee of 17 politicians chosen from a room full of indistinguishable Democrats, indistinguishable Republicans, and indistinguishable Independents if every party must have at least two members on the committee? If, in addition, no group may have a majority of the committee members?

Math   Statistics-And-Probability   
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