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How many ways can you distribute 9 units of energy among 6 identical, indistinguishable fermions?

April 26, 2017energy fermions identical indistinguishable units

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How many ways can you distribute 9 units of energy among 6 identical, indistinguishable fermions?

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Evaluating the average occupancy of each energy state is much simpler than in the Maxwell-Boltzmann example since each macrostate has a weight of 1. The average occupancy is just the sum of the numbers of particles in a given energy state over all the 5 distributions divided by 5.