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    • https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Essential_Graduate_Physics_-_Statistical_Mechanics_(Likharev)/05%3A_Fluctuations/5.02%3A_Energy_and_the_number_of_particles
      \[W_N \approx \left( \frac{\langle N \rangle}{N_0 } \right)^N \left( 1 - \frac{\langle N \rangle}{N_0 } \right)^{N_0} \frac{N_0^N}{N!} \equiv \frac{\langle N \rangle^N}{N! } \left(1 - \frac{\langle N ...\[W_N \approx \left( \frac{\langle N \rangle}{N_0 } \right)^N \left( 1 - \frac{\langle N \rangle}{N_0 } \right)^{N_0} \frac{N_0^N}{N!} \equiv \frac{\langle N \rangle^N}{N! } \left(1 - \frac{\langle N \rangle}{N_0 } \right)^{N_0} = \frac{\langle N \rangle^N}{N! } \left[ (1-W)^{\frac{1}{W}} \right]^{\langle N \rangle } , \label{30}\]

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