Given a graph $G =(V,E)$ and a subset $S⊆V$, the subgraph of $G$ induced by $S$, denoted $\langle S\rangle$ is the subgraph with vertex set $S$ and with edge set $\{(u,v)\mid u,v\in S \mbox{ and } \{u,v\} \in E\}$ . So, $\langle S\rangle$ contains all vertices of $S$ and all edges of $G$ whose end vertices are both in $S$ .
Determine whether $K_4$ is a subgraph of $K_{4,4}$ If yes, then exhibit it. If no, then explain why not.