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Previous Year Question (PYQs)



How many ways are there to pack six copies of the same book into four identical boxes, where a box contains six books?





Solution

Books are identical and boxes are also identical.

So, we need to find the number of partitions of $6$ into at most $4$ parts.

Possible distributions are:

$6$

$5+1$

$4+2$

$4+1+1$

$3+3$

$3+2+1$

$3+1+1+1$

$2+2+2$

$2+2+1+1$

Total ways $=9$


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