their wild gatherins, five couples were present (this included the Smyths of courese). The attendees were cordial , and some even shook hands with other guests. Although we have no idea who shook hands with whom, we do know that no one shook hands with themselves and no one shook hands with his or her own spouse. Given these facts, a guest might no shake anyone’s hand or might shake as many as eight other people’s hands. At midnight, Sam SMyth gathered the crowd and asked the nine other people how many hands each of them had shaken. Much to Sam’s amazement each person gave a different answer. That is someone didn’t shake any hands, someone else shook one hand, someone else shook two hands, someone else shook three hands, and so forth, down to the last person, who shook eight hands. Given this outcome, determine the exact number of hands that Stacy Smyth shook.