SOLUTION: A group of three seniors, six juniors, and five sophomores must select a committee of three. How many committees are possible if the committee must contain the following:
a. One
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a. One
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Question 322422: A group of three seniors, six juniors, and five sophomores must select a committee of three. How many committees are possible if the committee must contain the following:
a. One person from each class.
b. Any mixture of the classes.
c. Exactly two seniors. Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A group of three seniors, six juniors, and five sophomores must select a committee of three. How many committees are possible if the committee must contain the following:
a. One person from each class.
# of ways = 3*6*5 = 90
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b. Any mixture of the classes.
14C3 = 364
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c. Exactly two seniors.
3C2*11 = 3*11 = 33
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Cheers,
Stan H.
You can put this solution on YOUR website! A group of three seniors, six juniors, and five sophomores must select a committee of three. How many committees are possible if the committee must contain the following:
a. One person from each class.
Choose the senior 3 ways, then choose the junior 6 ways,
then choose the sophomore 5 ways. 3x6x5 = 90 possible
committees.
(