There are 5 roads from Allen to baker, 7 roads from baker to Carlson, and 4 roads from Carlson to dodge. How many different routes from Allen to dodge by way of baker and Carlson are possible?

140 different routes

Step-by-step explanation:

The first path (Allan to Baker) has 5 different options, so there are 5 possibilities. After that, there are 7 possibilities from Baker to Carlson. Then, there are 4 possibilities from Carlson to Dodge. To find the total number of possibilities, we just need to multiply the number of possibilities of each track, so:

5 * 7 * 4 = 140 possibilities, that is, 140 different routes.