Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 36A / a / Solution

A grand canonical ensemble describes a system that exchanges both energy and particles with a reservoir, at fixed $T,V,\mu$. If microstate $n$ has occupation $N_n$ and one-particle energy $E_n$, thenwith the allowed occupations chosen for the particle statistics.

Solved by gpt-5.6-sol high.