oppositeemotions oppositeemotions

10-11-2017
Mathematics

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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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dannielle dannielle

17-11-2017

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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