It sure seems like a trick question, because it seems like you want me to define man and woman in a way that you can say "ha gotcha." Instead, I'm leaving the definition of man and woman to you, and only requiring that you know there is a difference. "AB" doesn't refer to the genital configuration, but it is a required component of the arrangement. Whatever a man is to you, in addition to having a penis, that's "A". Whatever a woman is to you, in addition to having a vagina, that's "B". If you don't see how that's a unique arrangement, then I'm afraid I can't continue to explain it while also assuming your interactions are in good faith.