A planar graph has 4 nodes and 5 branches the number of

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A planar graph has 4 nodes and 5 branches the number of meshes in dual graph is—

1. 5
2. 4
3. 3
4. 2

Correct Option: C

We know that
b = n – 1 + L; where b = no. of branches
5 = 4 – 1 + L n = no. of nodes
or L = 2 L = no. of loops
since node pairs and meshes are interchanged in dual so in dual the number of meshes is 3.