9
Explanation
Strep 1
to solve this we need to multiply the number of choices on eanch point
so
the number of routes is
[tex]\begin{gathered} \text{Number of routs= 3}\cdot3 \\ \text{Number of routs=}9 \end{gathered}[/tex]so, there are 9 differentes routes from C to M going through F
therefore, the answer is 9
I hope this helps you