Consider a binary spin system with equal magnetic moments in a magnetic field. Consider 4 particles at 4 distinguishable locations. In this case each microstate can be represented by the 4 spins either up or down (e.g. 1414). (a) (2 points) How many macrostates (i.e. states with a unique energy) are there for this system? (b) (3 points) For each macrostate list the corresponding microstates (using the notation e.g. 1414) (c) (3 points) Make a table with 4 columns. The 4 columns should be the 1. The spin excess = 2s = nt - ny, 2. The number of microstates per macrostate from part (b), 3. The exact multiplicity (calculated with the binomial formula for multiplicity), 4. The multiplicity calculated from the Gaussian approximation. (Notice that the Gaussian approximation ain't half bad, even for only 4 particles)