Statistical Physics

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A combined system is formed from two sparate systems of N localized atoms of spin-1\2 each. while the two systems remain separate a) find the number of configurations which give a total spin excess S=S1+S2 where S1 and S2 are the excess spins of the separate systems. b) for what values of S1 and S2 is this number of configuration maximum?
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Hello I need examples and problems in statistical physics specially in combined sets and spin excess Thank you.