Consider a model thermodynamic assembly in which the allowed (non-degenerate) one-particle states have energies 0, (epsilon), 2(epsilon), 3(epsilon), 4(epsilon), .... The assembly has four distinguishable (localized) particles and a total energy of 6(epsilon). Identify all possible distributions, and evaluate the entropy of the most probable and the least probable distributions of the four particles in the energy states.

Consider a model thermodynamic assembly in which the allowed (non-degenerate) one-particle states have energies 0, (epsilon), 2(epsilon), 3(epsilon), 4(epsilon), .... The assembly has four distinguishable (localized) particles and a total energy of 6(epsilon). Identify all possible distributions, and evaluate the entropy of the most probable and the least probable distributions of the four particles in the energy states.