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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

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pedrocarratore

Answer:

72 routes

Step-by-step 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:

[tex]n= \frac{9!}{(9-1)!} *\frac{8!}{(8-1)!} =9*8\\n=72\ routes[/tex]

There are 72 different possible routes.

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