Q. Four particles, a, b, c, and d, are to be distributed into two degenerate states of energy .

(a) Write down a set of configurations corresponding to each possible distribution of particles in the two states; for simplicity, label the states as 0 and 1 with energies E0 = E1 = .

(b) Calculate the number of distinguishable permutations of these particles when distributed among the two states.

(c) What is the most probable configuration (as measured by the number of particles in each state), and what is its probability?