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The number of ways of distributing `8` identical balls in 3 distinct boxes so that none of the boxes is empty isA. `""^(8)C_(3)`B. 21C. `3^(8)`D. 5

Answer» The required number of ways is same as the number of ways of distributing 8 identical items to three persons such that each person receives at lesat one item.
So, required numbers of ways `=""^(8-1)C_(3-1)=""^(7)C_(2)=21`


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