# Math Help - Vertices and Edges

1. ## Vertices and Edges

Another question that is troubling me is (in bold):

Is it possible to draw a connected graph with 14 vertices and 12 edges? Explain.

I have come up with the answer no, but wanted some input on how to explain this reason.

Thanks.

2. For a graph with $n$ vertices to be connected it must have at least $n-1$ edges.

3. ## Thank you

Thanks for your help!