SOLUTION: Nineteen identical ball bearings are to be randomly shared by two girls and three boys anyhow. In how many ways can the ball bearings be shared in such a way that the boys will rec

Question 773522: Nineteen identical ball bearings are to be randomly shared by two girls and three boys anyhow. In how many ways can the ball bearings be shared in such a way that the boys will receive one ball bearing each and the rest go to the girls?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Nineteen identical ball bearings are to be randomly shared by two girls and three boys anyhow. In how many ways can the ball bearings be shared in such a way that the boys will receive one ball bearing each and the rest go to the girls?
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Pick 3 for the boys: 19C3 ways
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That leaves 16 for the two girls.
One of the two girls may receive: 0,1,2,3....14,15 or 16 balls
The other girl will receive what's left over.
The girl distribution can be done is 2*17 = 34 ways
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Total # of ways: 19C3*34 = 32946 ways
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Cheers,
Stan H.
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