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Consider systems which obey the following physical statistics: any number of particles can occupy any energy levels( assuming that they are accessible). The energy levels are equally spaced such that for the nth level, En=nE0 where n=0,1,2,3,... and E0 is a positive constant. All particles are distinguishable. Assume that the system 1 has an energy 4E0 and contains N (>>1) particle. System 2 has an energy level of E0 and also contains N particles. For each system, enumerate the possible states and find the probability That each system will be found in a particular energy distribution. B). If the two systems are brought into thermal contact ( thus allowing them to exchange energy freely( but not particles), determine the value of the multiplicity function for all possible configurations of the combined system . What is the most probable configuration of the combined system? How much more probable is it that we would find the system in its most probable configuration compared to any other configuration?.