Answer:
There are 360 possible different routes.
Step-by-step explanation:
Among the 4 locations, different orders are different routes, so the order is important.
This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different routes are possible?
4 locations from a set of 6. So
[tex]P_{(6,4)} = \frac{6!}{(6-4)!} = 360[/tex]
There are 360 possible different routes.
