- #1
d2x
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I only have a doubt about which definition to use for the multiplicity of a two state system. Clearly the total multiplicity of a two state system is given by:
Ω=2^N,
but what about the definition:
Ω(N,n) = \binom{N}{n} = \frac{N!}{n!\cdot(N-n)!}.
Clearly:
2^N ≠ \frac{N!}{2!\cdot(N-2)!}.
What is the difference between these two expressions for multiplicity? Is the second one incorrect for a two state system of N things?
Thanks.
Ω=2^N,
but what about the definition:
Ω(N,n) = \binom{N}{n} = \frac{N!}{n!\cdot(N-n)!}.
Clearly:
2^N ≠ \frac{N!}{2!\cdot(N-2)!}.
What is the difference between these two expressions for multiplicity? Is the second one incorrect for a two state system of N things?
Thanks.