3.(20) For 4 particles and a system energy of 4, find the most probable microstate(s) using FD,

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For the following simplified thermodynamic system that obeys quantum chemical rules for particle

3.(20) For 4 particles and a system energy of 4, find the most probable microstate(s) using FD, \( \mathrm{BE} \), and Boltzmann statistics. \begin{tabular}{|l|l|} \hline\( \varepsilon_{j} \) & \( g_{j} \) \\ \hline 3 & 10 \\ \hline 2 & 10 \\ \hline 1 & 10 \\ \hline 0 & 10 \\ \hline \end{tabular}