SOLUTION: A group of 9 people is going to be formed into committees of 4, 3, and 2, people. How many committees can be formed if: a) A person can serve on any number of committees? b) N

Algebra ->  Permutations -> SOLUTION: A group of 9 people is going to be formed into committees of 4, 3, and 2, people. How many committees can be formed if: a) A person can serve on any number of committees? b) N      Log On


   



Question 456788: A group of 9 people is going to be formed into committees of 4, 3, and 2, people. How many committees can be formed if:
a) A person can serve on any number of committees?
b) No person can serve on more than one committee?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A group of 9 people is going to be formed into committees of 4, 3, and 2, people. How many committees can be formed if:
a) A person can serve on any number of committees?
Ans: 9C4*9C3*9C2 = 381,024
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b) No person can serve on more than one committee?
Pick 4: 9C4
Pick 3: 5C3
Pick 2: 2C2
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Ans: 9C4*5C3*2C2 = 1260
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Cheers,
Stan H.