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Question
If $12$ different balls are to be placed in $3$ identical boxes, then the probability that one of the boxes contains exactly $3$ balls is :
$220{\left( {{1 \over 3}} \right)^{12}}$
$22{\left( {{1 \over 3}} \right)^{11}}$
${{55} \over 3}{\left( {{2 \over 3}} \right)^{11}}$
$55{\left( {{2 \over 3}} \right)^{10}}$

Solution

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