SOLUTION: There is a group of seven women and nine men, if they plan to make a committee of 5 with at least one woman how many possibilities are there? at least one man and one woman?

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Question 870469: There is a group of seven women and nine men, if they plan to make a committee of 5 with at least one woman how many possibilities are there? at least one man and one woman?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
There is a group of seven women and nine men, if they plan to make a committee of 5 with at least one woman how many possibilities are there?
 %22%22=%22%22 %28matrix%287%2C1%2C%0D%0A%0D%0ANumber%2C+of%2Call%2C+possible%2CCommittees%2Cof%2C5%29%29%22%22-%22%22 %22%22=%22%22 %22C%2816%2C5%29%22%22%22-%22%22%22C%289%2C5%29%22 %22%22=%22%22 4368-126 %22%22=%22%22 4242.

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at least one man and one woman?
 %22%22=%22%22 %28matrix%287%2C1%2C%0D%0A%0D%0ANumber%2C+of%2Call%2C+possible%2CCommittees%2Cof%2C5%29%29%22%22-%22%22%22%22-%22%22 %22%22=%22%22 %22C%2816%2C5%29%22%22%22-%22%22%22C%289%2C5%29%22%22%22-%22%22%22C%287%2C5%29%22 %22%22=%22%22 4368-126-21 %22%22=%22%22 4221.

[Notice: for the second one, we could have just subtracted 21 from the
answer to the the first one).

Edwin