20Which of the following statements is not true? (A) The total partition function for a collection of N independent molecules or atoms can be expressed as the product of the molecular partition functions q for the individual species. (B) If these molecules or atoms are indistinguishable, the total partition function is divided by a factor of N!. (C) The existence of the 1/N! factor in the expression of Q for ideal gases is noticeable only in the entropy expression, but is not noticeable in the internal energy expression because the differential of the logarithm of 1/N! is zero. (D) The molecular partition function q for an ideal gas molecule can be decomposed into the sum of the partition functions for four types of degree-of-freedom: translational, vibrational, rotational, and electronic. (E) The vibrational partition function of a polyatomic molecule is a product of harmonic oscillator partition functions for each normal mode.