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OpenStudy (anonymous):
How many different five-member committees can be formed from a group of 12 faculty members and 8 student representatives, if the committee must have 3 faculty members and 2 student represents?
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OpenStudy (kropot72):
There are 12C3 ways of choosing the 3 faculty members and each of these ways can be combined with each of the 8C2 ways of choosing the 2 student representatives. Therefore the total number of five-member committees is given by \[12C3\times 8C2\]
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