2) A box with 4 bins contains four particles separated by a partition shown as the dark line. The particles on either side of the partition can only occupy bins on that side of the partition. That is, the particles cannot cross the partition. The bins allow multiple occupancies- As shown, the particles are distinguishable. One possible microstate: A C B D l 2 3 a} With the partition xed in the central position, what is the total dimensionless entropy of the system? b) At which xed position of the partition is the total entropy a maximum? c) If the constraint of xed partition is removed and the partition is allowed to move among all three positions, what is the total entropy of the system