Elements of combinatorial analysis

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Elements of combinatorics

How to use the given hint to answer this question?

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This problem refers to the classical occupancy problem (Boltzmann-Maxwell statistics): that is, r balls are distributed among n cells and each of the $n^r$ possible distributions has probability $n^{-r}$

When I insert r=3,n=2 as per Henry"s comment,I got '?' as an answer. How is that?

result result

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Maxwell-Boltzmann MaxwellBoltzmann1