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What is the possible ways of distributing 10 identical things among 6 children

My solution is "out of 10 identical things 6 can be given to 6 children in only one way,since the things are identical,Now the remaining 4 identical things can be distributed among 6 children in n+r-1cr-1 i.e 9c5"

But i am not getting the answer

Please explain

Neeraj Sharma
  • 341
  • Each child can get more than one of the items, so basically you are trying to find the solutions of $\sum_{i=1}^6 x_i = 10$, where the $x_i$ are non-negative. This is done via stars and bars, which you should read up. – Sarvesh Ravichandran Iyer Nov 17 '16 at 12:35
  • If $^9C_5$ is not giving the answer, maybe a child(ren) getting nothing is allowed. – true blue anil Nov 17 '16 at 15:52

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