As I say, I first heard it (1970's) with "Bad boys rob", and without the suffix. (Which, frankly, strikes me as backward and dubiously necessary since it's such a small set.) Still sexist, but less offensive.
I actually didn't know about the Black/Rape version until someone objected violently to my quoting the more acceptable version. Apparently they believed I was bowdlerizing on the fly and really thinking the nastier form. Sigh.
"The problem's all inside your head," said my T.A.
"This homework's easy, if you think in the right way
I'd like to help you in your struggle for an A
There must be ... fifty ways to solve your circuit"
-- AAAA and the Six Pistols, All Tech Sing contest, circa 1980
(to the tune of "50 Ways to Leave Your Lover", in case that isn't obvious)
I do like the Wikipedia alternative. Only quibble I have with it is that the two B's don't have a built-in clue as to which is which; the old monstrosity does tie the A to blAck and O to brOwn. If you don't need the reminder of which is which, you probably don't need the mnemonic.