Find out how many people from glasses clinking There's a party and there are people clinking glasses. We hear 28 clinks (one person clinks with exactly one person). I have to find out how many people there are at the party.
So I put in this equation: 
$\binom{x}{2} = 28$, but I don't know how to find $x$. 

Shouldn't the answer be 56?
The question says that "one person clinks with exactly one person". Which I would assume means that a every person only clinks once. Using binomial theorem, we will be counting cases in which a person clinks multiple times. 
I feel that the answer sould be 56, as 56 people can be divided into 2 groups of 28 giving 28 clinks. 
