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Consider a model thermodynamic system in which the allowed (nondegenerate) energy levels are 0, ? (epsilon), 2? (epsilon), 3? (epsilon). The system has three indistinguishable bosons and a total energy U = 4? (epsilon).

Determine how many macrostates are possible.

For each macrostate, how many microstates are there? Explain why this is the case.

Compute the average occupation numbers for each energy level.

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