THERE ARE FOUR PEOPLE IN A ROOM THAT HAVEN’T MET BEFORE. THEY ARE TOLD TO SHAKE HANDS, EXACTLY ONCE, OF EVERY OTHER PERSON IN TH
E ROOM SO THAT THEY ALL MEET EACH OTHER. IF EACH OF THESE PEOPLE SHAKE THEIR HANDS WITH EVERY OTHER PERSON EXACTLY ONCE THEN HOW MANY HANDSHAKES ARE GOING TO OCCUR?