Question

there are 9 different routese between citise A and B, and 8 different routes between cities B and C. How many different routese are there form city A to city C by way of city B socratic.org

Answer 1

72 routes

Explanation:

The total number of routes from city A to C by way of city B is determined as the product of picking one out 9 routes from A to B by picking one out of 8 routes from city B to C:

`n= (9!)/((9-1)!) *(8!)/((8-1)!) =9*8\\n=72\ routes`

There are 72 different possible routes.