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Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0,...

Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0, 3E0, and 4E0. Taking into account the various ways the particles can fill those energy states, draw schemes of all the possible configurations with total energy E = 4E0 for the following cases:

(a) The two particles are distinguishable.

(b) The two particles are indistinguishable bosons.

(c) The two particles are indistinguishable fermions.

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