The Born Openheimer Approximation Assumes That the Electrons Move Much

The Born Openheimer approximation assumes that the electrons move much faster than the nuclei. This lets us assume the wavefunctions for the electrons in the molecule

A) are independent of the position of the nuclei.
B) depend only on the positions of the nuclei.
C) are the same as the wavefunctions for the nuclei.
D) the product of one electron wavefunctions.
E) always even with regard to inversion symmetry.