Can a graph with 11 vertices and 56 edges exist?

Can a simple graph with the following property exist?

The graph is to have 11 vertices and 56 edges.

Thanks for the help.

• How many edges does the complete graph on 11 vertices have? May 31, 2019 at 4:39

For $$n$$ vertices complete graph $$k_n$$ we have $$\frac{n(n-1)}{2}$$ edges.
For 11 vertices we can have $$11\cdot 10 /2 = 55$$ edges. Hence it is not possible.