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Math Help - quick question

  1. #1
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    quick question

    Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take place?
    thanks
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  2. #2
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    Quote Originally Posted by mauro21pl View Post
    Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take place?
    thanks
    That is number of combinations possible with 2 people out of 20.
    {{20}\choose 2}=\frac{20\cdot 19}{2}
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