Respuesta :
There are 120 different possible routes when an overnight express company must include five cities on its route.
How many different routes are possible, assuming that it does not matter in which order the cities are included in the routing?
Let's say the cities be A, B, C, D and E.
Now to include these five cities in the route, first city can be chosen in 5 ways (because there are 5 options available)
second city can be chosen in 4 ways( because only 4 cities are left now),
third city can be chosen in 3 ways ( because only 3 cities are left now),
fourth city can be chosen in 2 ways ( because only 2 cities are left now),
and the fifth city can be chosen in only one way (because only one city is left).
Thus the total number of different routes that are possible in including the 5 cities = 5×4×3×2×1= 120.
To learn more about routes, refer: https://brainly.com/question/18850324?referrer=searchResults
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