SOLUTION: A committee is to have four members. There are seven men and six women available to serve on the committee. How many different committees can be formed?
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Question 780423: A committee is to have four members. There are seven men and six women available to serve on the committee. How many different committees can be formed? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A committee is to have four members. There are seven men and six women available to serve on the committee. How many different committees can be formed?
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men/women
0/4----- 6C4 = 6C2 = 15 ways
1/3----- 7*6C3 = 7*20 = 140 ways
2/2----- 7C2*6C2 = 21*15 = 315 ways
3/1----- 7C3*6C1 = 210 ways
4/0----- 7C4*1 = 35 ways
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Total:: 15+140+315+210+35 = 715 ways
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Cheers,
Stan H.
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