Question

THERE ARE 3 HIGHWAYS FROM WINSTON TO HAMLIN ,FOUR HIGHWAYS FROM HAMLIN TO GREENVILLE, THREE HIGHWAYS FROM GREENVILLE TO OCEAN CITY. DETIERMINE THE # OF ROUTES FROM WINSTON TO OCEAN CITY?

Answer 1

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:

$\begin{gathered} #\text{ of routes }=3\cdot4\cdot3 \\ \\ \therefore#\text{ of routes }=36 \end{gathered}$