Question: How to draw a physical plot?

sorry, i`m learning of thermaldynamics and want to make a graph of that x-axis  is number of spin-up and y-aixs is number of configuraions when there are atoms could only have spin-up and down.

 

if the atoms are 10, what is the formular in maple 17

how about 100 ?

 

please let me know, thank you

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