Problem 7.4. Consider a lattice with N spin-1 atoms with magnetic moment . Each atom can be in one of three spin states, S = -1,0, +1. Let n-1, no, and n denote the respective number of atoms in each of those spin states. Find the total entropy and the configuration which maximizes the total entropy. What is the maximum entropy? (Assume that no magnetic field is present, so all atoms have the same energy. Also assume that atoms on different lattice sites cannot be exchanged, so they are distinguishable).