Finding the probabilities of macrostates for paramagnetic dipoles

[Minish]

Homework Statement

Hi!
So I am given two different microstates of a system with 10 dipoles in a magnetic field B.
I am asked to find the microstate that belongs to the macrostate with the highest probability, and to give that probability. I am also asked to find the same but with the highest entropy.

Homework Equations

Ω(N_v) = N_tot! / ( N_Λ! * N_v! )

The Attempt at a Solution

So I can find the multiplicity of the states here and find the probability of each one simply using the multiplicity of that state over the total number of all microstates. However since there is a field and these dipoles will tend to allign with the field, I am unsure of how to answer the given questions.

Thank you very much

 

[DrClaude]

However since there is a field and these dipoles will tend to allign with the field, I am unsure of how to answer the given questions.

Energy plays no special role here. Considering Ω(N_v) is the same as considering Ω(E).