Discussion
According to Fermi-Dirac the statistics following assumption is made :
Answer: C
Fermi-Dirac statistics assumes the particles are indistinguishable and that only one particle may occupy a given state.
Fermi-Dirac statistics applies to fermions, particles of half-integer spin such as electrons, protons and neutrons. Identical quantum particles cannot be labelled, so they are indistinguishable, and fermions obey the Pauli exclusion principle, which allows at most one particle in each quantum state. The resulting occupancy of a state of energy E never exceeds 1:
\[ f(E) = \frac{1}{e^{(E-\mu)/kT} + 1} \]
Distinguishable particles with any number per level is Maxwell-Boltzmann statistics. Indistinguishable particles with any number per state is Bose-Einstein statistics, which applies to bosons such as photons. Distinguishable particles with single occupancy belongs to none of the three standard statistics.
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