Question 702546: fifteen people are at a party. if each person shakes hands with everyone else(just once)how many handshakes are there in all? Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! From the points of view of the 15 people, each one shaking 14 hands, there would be shakes.
However, that would count each handshake twice, one from the point of view of each shaker,
so there are shakes.