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Question

No. Of ways in which 12 identical balls can be put in 5 different boxes in a row, if no box remains empty is

A
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B
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C
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D
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Solution

The correct option is B
This is same as placing 4 sticks anywhere in the 11 gaps created by placing 12 balls in a row such that no 2 sticks are put in the same gap. Therefore we have 11 gaps and 4 sticks.
(n1)Cr1
= (11)C4

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