Given: For any connected planner graph $G$
- Number of vertices $(v)=13$
- Number of edges $(e)=19$
- Number of regions/faces $(f)=?$
For any connected planner graph $v+f=e+2$
$\implies 13+f=19+2$
$\implies f=21-13$
$\implies f=8$
$\therefore$ the number of faces in given graph $G$ is $8$.
So option $(B)$ is correct.