Consider the model for a lattice gas. In this model there are M lattice sites and N gas particles. Assume that both M and N are large and that the density of particles is small (i.e. N/M << 1).
A) Determine the multiplicity W for placing the N particles in the M sites assuming that the particles are indistinguishable.
B) Write an expression for entropy as a function of M and N based on the Boltzmann equation.