Question

Possible routes a sales representative for a company could take by starting at Los Angeles,visiting Chicago,Houston, and Philadelphia in some order and then return home describe each route by listing the first letter of each city visited

Answer 1

Using the arrangements formula, there are 6 routes to visit the cities, given as follows:

C - H - P, C - P - H, P - C - H, P - H - C, H - P - C, H - C - P.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

$A_n = n!$

In this problem, there are 3 cities, hence the number of routes is given by:

$A_3 = 3! = 6$

The routes are given as follows, with each first letter representing the city:

C - H - P, C - P - H, P - C - H, P - H - C, H - P - C, H - C - P.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

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