a) Consider a system of two identical particles occupying any of three energy levels, B, and C having energies E, 2E, and 3E, respectively. Level A is doubly degenerate (A1and A2) and the system is in thermal equilibrium. Find the possible configurations and the corresponding energy in the following cases: (i) the particles obey Fermi statistics; (ii) the particles obey Bose statistics; and (iii) the particles are distinguishable and obey Boltzmann statistics.