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.

140 routes

Total Number of roads from allen to dodge through baker and Carlson is 140 routes.

Step-by-step explanation:

Given;

Number of roads from Allen to baker = 5

Number of roads from baker to Carlson = 7

Number of roads from Carlson to dodge = 4

Total Number of routes from allen to dodge through baker and Carlson is;

N = 5*7*4

N = 140 routes