Consider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ?, 2?, 3?, 4?,5?,6?,.... The assembly has three particles and a total energy of 7?. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable (b) gaseous bosons (c) gaseous fermions

Consider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ?, 2?, 3?, 4?,5?,6?,.... The assembly has three particles and a total energy of 7?. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable (b) gaseous bosons (c) gaseous fermions