Question 387810: A ten-person club must select a president, a vice-president and a secretary treasurer. They must also select a 3 person committee. If the officers may not serve on the committee, in how many ways may both selections be made?
Assume one person cannot be assigned more than one position.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A ten-person club must select a president, a vice-president and a secretary treasurer.
They must also select a 3 person committee.
If the officers may not serve on the committee, in how many ways may both selections be made?
Assume one person cannot be assigned more than one position.
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# of ways to pick P,VP,and sec: 10*9*8
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# of ways to pick 3 person committee: 7C3 = 35
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# of ways to make the selections:
10*9*8*35 = 25200
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Cheers,
Stan H.
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