The energy spectrum of a particle consists of four states with energies 0,e, 2 e,3 e. LetZ, (T),Z, (T) and Ze(") denote the canonical partition functions for four non-interacting particles at temperature T. The subscripts B, F and C corresponds to bosons,fermions and distinguishable classical particles, respectively. Let y= expk„TWhich one of the following statements is true about ZB (T), ZF (T) and Zc (T)?(a) They are polynomials in y of degree 12,6 and 12, respectively.(b) They are polynomials in y of degree 16,10 and16, respectively(c) They are polynomials in y of degree 9,6 and 12, respectively.(d) They are polynomials in y of degree 12,10 and 16, respectively.

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