Given some graph $G$ such that we have between two vertices an edge, and between each edge two distinct vertices. How many vertices do we have if there is a total of 196 edges?
I'm reproducing this question from memory but I think that's how the question was phrased. Now I suppose the last condition is to rule out edges from a vertex to itself, and the first condition is to rule out cases where the graph is disconnected. But hey, isn't that trivially just the complete graph $K_n$ with edges $n \choose 2$? But if that's so there then there has to be a problem with the number of edges given since there is no integral solution for the equation ${n \choose 2} = 196$.
Any pointers would be appreciated.