A (very small) system consists of six distinguishable particles. The particles occupy quantised energy states, with energy $E_0 = 0c$, $E_1 = 1c$, $E_2 = 2c$..., $E_k = kc$, etc., where $c$ is a suitable unit of energy. The total energy of the system is $4c$.
(a) Write down all the possible macrostates for the system. How many macrostates are there?
(b) How many microstates are there? [Hint: use the macrostates as a guide.]
(c) Which is the most probable macrostate? Why?
