Question

At a party everyone shook hands with everybody else.there are 66 handshakes.how many people were at the party.
Options
1.30
2.14
3.12
4.25
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Answer 1

Answer:

12(3)

Step-by-step explanation:

No. of handshakes=n(n-1)/2

Then,n²-n=132

=>n²-n-132=0

=>n(n-12)+11(n-12)=0

=>(n-12)*(n+11)=0

=>n=12. (As n can't be negative)