> So, my problem with how this is modeled is it assumes order doesn't matter in one aspect, but that it does in another. Yeah, I'm with you here. Assuming head

> So, my problem with how this is modeled is it assumes order doesn't matter in one aspect, but that it does in another. Yeah, I'm with you here. Assuming heads=girl and tails=boy: * If order does NOT matter (GB=BG), then it means Alice-Albert (GB, Heads-Tails) is the same as Albert-Alice (BG, Tails-Heads). * If order DOES matter (GB!=BG), then it means Alice-Barbara (GG, Heads-Heads) is different than Barbara-Alice (GG, Heads-Heads). Thereforce, GG!=GG. Either way, the stated problem seems badly defined.