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13 September, 22:56

At a party, everyone shook hands with everyone else. There were 66 handshakes. How many people were at the party? Explain.

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  1. 13 September, 22:58
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    N-the number of people

    The first person shake n-1 hands, the second n-2 ... the last person shake one hand

    1+2+3 + ... + n-1=n * (n-1) / 2=66

    ⇒ n * (n-1) = 66*2=132=12*11

    ⇒ n=12 people was at the party
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