2009 Gauss 8 Problem 8

The number of faces (F), vertices (V) and edges (E) of a polyhedron are related by the equation F + V - E = 2. If a polyhedron has 6 faces and 8 vertices, how many edges does it have?

\textbf{(A)}\ 12\quad \textbf{(B)}\ 14\quad \textbf{(C)}\ 16\quad \textbf{(D)}\ 18\quad \textbf{(E)}\ 10

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.