According to the given graph $F$
- Total number of vertex $(V)=9$
- Total number of edges $(E)=11$
- Number of predicate node$=3\to(1,(2,3),6)$
$\therefore \text{ Cyclomatic complexity of flow graph is = number of predicate node +1}\implies 3+1=4$
So Cyclomatic complexity of given flow-graph $F$ is $4$
Option $(C)$
Ref: Gate 2015