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The number of ways of distributing 8 ide...

The number of ways of distributing `8` identical balls in 3 distinct boxes so that none of the boxes is empty is

A

`""^(8)C_(3)`

B

21

C

`3^(8)`

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
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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