Distributions with total energy U and N particles key things to remember

Number of microstates in a distribution option Di: - Ω_i=N!∏1/(n_j !) (To find the total number of microstates sum the Ω_i values) You can then get the probability of a particle being in D_i using Ω_i/Ω You can also find the average number of particles in a state ni using ⟨n_i ⟩=(∑n_(D_i ) Ω_i)/Ω, where n_(D_i ) is the ni in distribution Di