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Each handshake involved 2 people so 12 guests: Guest A made 11 handshakes, B 10 having already been counted as an A-B handshake, C 9 etc for 2 ppl thr is 1 hand shake

for 3 thr is 3(1+2)

for 4 thr is 6(1+2+3)

hence

12 ppl coz..sum of 1st 11 is 66...

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