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In how many ways 30 identical balls can be DISTRIBUTED among 4 boys?? Its answr is 5456. How??

In how many ways 30 identical balls can be DISTRIBUTED among 4 boys?? Its answr is 5456. How??

Grade:11

1 Answers

Shaurya Gupta
41 Points
8 years ago

Let they get a,b,c,d respectively. 

You need to find the non negative integral results of a+b+c+d=30 (as they add up to 30)

the formula is n+r+1Cr-1 where n=30 and r= 4(a,b,c,d)

therfore 33C3 = 5456

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