Number of highways:
From Winston to Hamlin: 3
From Hamlin to Greenville: 4
From Greenville to Ocean City: 3
The total number of routes from Winston to Ocean city is the product of the number of highways from Winston to Hamlin, etc.
Finally:
[tex]\begin{gathered} #\text{ of routes }=3\cdot4\cdot3 \\ \\ \therefore#\text{ of routes }=36 \end{gathered}[/tex]