(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Logs rearranging, relates to paramagnetism

1. The problem statement, all variables and given/known data

I want to show that NlnN - n1ln(n1) - n2ln(n2) is equal to:

-N{(n1/N)ln(n1/N) + (n2/N)ln(n2/N)}

apparently i can do this by the artifice of adding and subtracting the term n1lnN and then regrouping.

2. Relevant equations

3. The attempt at a solution

I am getting the required form but i also get an additional (LogN-1)(n1/N + n2/N -1)

Im wondering if this cancels out somehow. This question is about paramagnetism and where n1 and n2 are the number of atoms where the moment points up or down respectively.

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# Logs rearranging, relates to paramagnetism

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