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by hexxiiiz 2170 days ago
If you count the number of microstates for a given macrostate you get a hyper geometric number N!/(n_1!n_2!...) The log of this is the Boltzmann entropy. However, if you consider N to be very large or infinite, you can show using the Stirling approximation that this ends up being the Gibbs/Shannon entropy in that case. So, in general, no.