Consider a system of 3 particles with a total energy of 4E in a system of 5 equally spaced energy states with energies 0, E, 2E, 3E, and 4E. Enumerate the states (for example, let state (a,b,0,c,0) represent particle a with energy 0, b with energy E and c with energy 3E or let state (0,2,1,0) represent two identical particles each with energy E and one particle with energy 2E, etc.) and list the probability p(nE) of finding a particle with energy nE, where n is an integer 0, 1, 2, 3, 4. Do this for (a) Maxwell-Boltzmann statistics, (b) Bose-Einstein statistics, and (c) Fermi-Dirac statistics.