(mathrm{A}) box divided into identical compartments (mathrm{A}) and (mathrm{B}) contains two distinguishable particles in A and three...

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\(\mathrm{A}\) box divided into identical compartments \(\mathrm{A}\) and \(\mathrm{B}\) contains two distinguishable particles in A and three distinguishable particles in \(B\). There are five energy units in the box, initially shared by the two particles in \(A\). The system is closed, but particles can exchange energy through collisions with the partition. Calculate the number of basic states (a) initially and \((b)\) once the system has reached equilibrium.

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