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Find the number of ways to distribute 10 books in 3 shelves.

I considered it as an ordered problem which is fully unspecified. So, answer should be 310. But the given answer is 12P2.

Where am i going wrong?

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THere would be two cases:-

CASE!:- if all the books are distimct then it would be ... 103

case2:- if all the books r  identical then....

coefficient of  x10 in (1+x+x2+x3+......+x10)3  ....10+3-1C10  ->12C2

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