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Suppose that n distinguishable particles are placed randomly into N boxes (states). A particular configuration of this system is such that there are n,

 

Suppose that n distinguishable particles are placed randomly into N boxes (states). A particular configuration of this system is such that there are n, particles in state s, where 1 s N. The ordering of particles in any particular state does not matter. Show that the number of ways of realising a particular configuration is: N W = n! II 8=1 ng! N [NB: The product symbol II is defined such that as = aa...an]. 8=1

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