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September 23, 2014

September 23, 2014

Posted by **Ken** on Sunday, October 18, 2009 at 11:36pm.

Fourteen people attend a meeting. If each person shook hands with every other person, how many handshakes were there altogether?

- maths -
**Reiny**, Sunday, October 18, 2009 at 11:47pmIn combination notation, that would be

C(14,2) = 14!/(12!2!) or 91

Or

Each of the 14 people can shake hands with 13 other people, that would be 14x13 = 182 handshakes.

But that would be all cases of A shaking with B and B shaking with A, that is, we care counting each handshake twice.

So divide the 182 by 2 to get 91

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