This is a little hard...

Level pending

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


The answer is 12.

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1 solution

Sujoy Roy
Nov 29, 2014

If n n number of people present in the party, then

n C 2 = 66 ^{n}C_2=66

or, n ( n 1 ) 2 = 66 \frac{n(n-1)}{2}=66

or, n = 12 n=\boxed{12}

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