SOLUTION: In how many ways can a committee of five people be selected from seven women and nine men if at least one woman must be in the committee?

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Question 435595: In how many ways can a committee of five people be selected from seven women and nine men if at least one woman must be in the committee?
Found 2 solutions by stanbon, edjones:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In how many ways can a committee of five people be selected from seven women and nine men if at least one woman must be in the committee?
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Total # of 5 member committees possible: 16C5
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# of 5 member committees with NO woman: 9C5
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Therefore # of 5 member committees with at least one woman: 16C5-9C5 = 4242
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Cheers,
Stan H.
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Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=combination of n things taken r at a time.
16C5-9C5
=4368-126
=4242 ways
.
Ed