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1. In the above problem, what is the probability of finding the two particles in the same state according to
(a) classical statistics,
(b) Bose--Einstein statistics,
(c) Fermi--Dirac statistics?
2. Consider the distribution of three particles among two states. List the possible arrangements of the system if the particles are
(a) distinguishable,
(b) identical bosons,
(c) identical fermions.
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