Question

Consider a system that contains N sites. Each site may be empty, or may be occupied...

Consider a system that contains N sites. Each site may be empty, or may be occupied by a
spin 1 particle. A spin 1 particle may be in one of three states (Sz=1,0,-1). Please compute
(a) The total number of states
(b) The entropy, if all states are accessible
(c) The most probable value of the number of occupied states.
(d) The entropy, if the only accessible states are those in which 1/3 of the sites are occupied.
Here please give the answer in the N → ∞ limit.

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