A system comprised of 3 non-interacting particles has 4 one-particle states (call them 1, 2, 3, and 4). How must these particles be placed in these one-particle states taking their statistics into account? In other words, list the probable thermodynamic states of the system. For each part, also state which thermodynamic states are important in the classical regime. a) distinguishable particles (call them A, B, C), that is, those particles subject to classical statistics, b) identical bosons (call them A), c) identical fermions (call them A). What is the number of thermodynamic states in each case?

A system comprised of 3 non-interacting particles has 4 one-particle states (call them 1, 2, 3, and 4). How must these particles be placed in these one-particle states taking their statistics into account? In other words, list the probable thermodynamic states of the system. For each part, also state which thermodynamic states are important in the classical regime. a) distinguishable particles (call them A, B, C), that is, those particles subject to classical statistics, b) identical bosons (call them A), c) identical fermions (call them A). What is the number of thermodynamic states in each case?