Rudolph's Disorderly System
Rudolph the red-nosed statistical mechanist is trying to maximize the entropy of his system. He can either fill his box with 2 particles and 3 unit of energy or 3 particles and 2 units of energy. Assuming a unit of energy is quantized (i.e. a particle cannot have a part of a unit of energy) and that all energy is assigned to the particles, which arrangement provides for more entropy?