Question 1146060
If you want to find the number of ways to pick a committee that has exactly three Republicans, that means you are looking for a committee with three Republicans and one Democrat.
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The number of ways to pick a committee with three Republicans and one Democrat:
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6C3 * 2C1 = {{{6!/(3!*3!)}}} * {{{2!/(1!*1!)}}} = 20 * 2 = 40