SOLUTION: a committe of four congressmen will be selected from a group of six Republicans and Two democrats. find the number of ways of obtaining a committee with exactly three republicans

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Question 1146060: a committe of four congressmen will be selected from a group of six Republicans and Two democrats. find the number of ways of obtaining a committee with exactly three republicans
Answer by VFBundy(438) About Me  (Show Source):
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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.

The number of ways to pick a committee with three Republicans and one Democrat:

6C3 * 2C1 = 6%21%2F%283%21%2A3%21%29 * 2%21%2F%281%21%2A1%21%29 = 20 * 2 = 40