option 3) 4
Concept
A region is an area that is bounded by edges and cannot be further subdivided. Region can be finite nature and can also be infinite nature. A planar graph can only have one infinite region.
Explanation
The graph in the data has 3 finite or closed regions.
Region 1 – Bounded by edge 1-10-1
Region 2 – Bounded by edges (2.3)-6-8-9-10-(4.5)-(2.3)
Region 3 – Bounded by edges 6-7-9-8-6
The fourth region is infinite or open region
Region 4 – 1-11