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Generally speaking, how large does a system have to be for the total multiplicity of the system to be (100.000000000000000000000000001 percent of) the multiplicity of the most probable macrostate? I noticed that in Schroeder's Thermal Physics, entropy is defined to be $S = k \ln \Omega$, but what is meant by $\Omega$, the multiplicity of the system or the multiplicity of the current macrostate, isn't given, so I inferred that it doesn't matter because the system in question is assumed to be large. If I'm correct, then it makes sense to ask this question.

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