SOLUTION: fifteen people are at a party. if each person shakes hands with everyone else(just once)how many handshakes are there in all?

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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) About Me  (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 15%2A14 shakes.
However, that would count each handshake twice, one from the point of view of each shaker,
so there are 15%2A14%2F2=105 shakes.