# Thread: Microstates of N non-interacting Dipoles

1. ## Microstates of N non-interacting Dipoles

Hello,

I'm having an issue with the beginning of a question, and I think I may be making a very stupid error, but I'm not sure what to do to correct it yet.

Basically, I need to find the number of microstates available for N particles, which can have a state of N(+) or N(-), where N = N(+) + N(-).

The Number I got was W(n) = [N-N(+)]!/[(N-N(+)-N(-))!N(-)!] = N(-)!/[(0)!N(-)!) = 1, but this doesn't seem correct to me at all. There should at least be N macrostates, and many more microstates. If anybody can tell me the formula I should be using, or why this one isn't working I would be very appreciative.

Thank you

2. In two level system

$
N_1+N_2=N
$

$
\displaystyle {
W(N_1,N)=\frac{N!}{N_1!(N-N_1)!}
}
$