Question

Towns A, B, C, and D are located in such a

way that there are four roads from A to B, five roads from B
to C, and six roads from C to D. How many routes are there
from town A to town D via towns B and C?

Answer 1

Explanation:

To determine the number of routes from town A to town D via towns B and C, we can multiply the number of routes from A to B, the number of routes from B to C, and the number of routes from C to D.

Given that there are four roads from A to B, five roads from B to C, and six roads from C to D, we can calculate the total number of routes as follows:

4 (routes from A to B) x 5 (routes from B to C) x 6 (routes from C to D) = 120 routes

Therefore, there are 120 different routes from town A to town D via towns B and C.