Isomorphism and Subgraphs · Medium problem

Let $G$ have vertices $1,\ldots,6$ with edges $12,13,14,23,24,34$ (a $K_4$ on $\{1,2,3,4\}$) together with $45,56$ (a path continuing to $5$ and $6$). What is $2|E(G[\{1,2,3,4,5\}])|$, the sum of degrees within the subgraph induced by $\{1,2,3,4,5\}$?