Party Handshakes

Level pending

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

40 22 33 12

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1 solution

Poonayu Sharma
Dec 8, 2014

Number of handshakes will be equal to nC2 were n is the number of people ... So if

nC2=66,

We can solve for n which comes out to be 12

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