SOLUTION: Six strangers arrive at a business seminar and each person shakes hands with every other person. How many handshakes are there?

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Question 16178: Six strangers arrive at a business seminar and each person shakes hands with every other person. How many handshakes are there?
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
Each man shakes hands with 5 other men, for a total of 30 handshakes.
However, if man A shakes hands with man B, it is the same as B with A. Therefore we divide our total by two and get the answer...
15 handshakes
Another way is 5+4+3+2+1 = 15...