this is possibly the only interesting hand shaking question i know of: 5 couples go to a party. at the party everyone shakes hands with every one they dont know. (note: its not a blind date thing, i mean everyone knows their spouse) at the end, Bill, the known loser, asks everyone how many times they shook hands. after, he promptly forgets who told him what number, but he knows that as an answer he got every number from 0 to 8 inclusive. he doesnt ask himself. how many times did his spouse shake hands?