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The number of ways of distributing 5 ide...

The number of ways of distributing 5 identical balls in into three boxes so that no box is empty (each box being large enough to accommodate all balls), is

A

`3^(5)`

B

`5^(3)`

C

15

D

6

Text Solution

Verified by Experts

The correct Answer is:
D

The required number of ways is the number of ways of distributing 5 items among 3 persons so that a person receives at least one item `""^(5-1)C_(3-1)=""^(4)C_(2)=6.`
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