Three cars entered the parking lot at the same time, and the attendant isn't quite sure about whose car is which. However, he knows that:

a. Cuthbert drove the BMW if and only if Mr. Cooper drove the Audi.
b. Albert drove the Cadillac if and only if Mr. Cooper drove the BMW.
c. Cuthbert is Mr. Brown if and only if Mr. Andrews drove the BMW.
d. Bert is Mr. Andrews if and only if Cuthbert drove the BMW.
e. Mr. Cooper drove the Audi if and only if Albert is Mr. Brown.
f. Cuthbert is Mr. Brown if and only if Albert drove the Cadillac.

Who arrived in which car?