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In the given flow graph $F$ $4$ regions are present.

  • $(1,(2,3),(4,5),10)$
  • $6,7,8,9$
  • $1,(2,3),6,8,9,10,(4,5)$
  • outer side region

Total $4$ regions are present.

Option $(C).$

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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

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