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A city council consists of seven Democrats and seven Republicans. If a committee of six people...

A city council consists of seven Democrats and seven Republicans. If a committee of six people is​ selected, find the probability of selecting three Democrats and

three Republicans.

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Answer #1

x people selected from n people by nCx ways ,

Where nCx = n! / [ (n-x)! * x! ]

So,

P(3 democrats and 3 Republicans) = 7C3 * 7C3 / 14C6

= 0.4079

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