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## Homework Statement

"A model system consists of N identical ”boxes” (e.g. quantum wells, atoms), each box with only two quantum levels, energies E0 = 0 and E1 = ε What is the number of microstates corresponding to the macrostate with total energy Mε?"

## The Attempt at a Solution

I've done questions like this in the past with a small number of quantum wells, but then I've simply counted the number of possible arrangements. For example, if you have 3 quantum wells with one particle in each, and each well has 4 energy levels (including E

_{0}=0), there are 10 different microstates if the macrostate energy is 3ε. But I can't find a general equation.

Does anyone know the general equation(s) that are used to solve a question like this?