The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is:
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Official solution
To distribute n objects among p people where everyone should get atleast one object, then number of ways to distribute those n objects
= n−1Cp−1
For this question, n = 8 and p = 3
\[ \therefore \] Number of ways = 8−1C3−1 = 7C2 = 21