Chapter 13, Problem 4PT

To determine

If a travelling a salesperson needs to 4 cities in her territory then how many distinct itineraries are there to visit each city once.

Answer to Problem 4PT

The itineraries to visits each city once is $24$ .

Explanation of Solution

Given information: The salesperson visits 4 cities in her territory.

Calculation: Since the person has to visit 4 cities in her territory. Therefore itineraries $\left(x\right)$ to visits each city at one time is $4!$ .

  $\begin{array}{c}x=4!\\ =\left(4\right)\left(3\right)\left(2\right)\left(1\right)\\ =24\end{array}$

Hence the itineraries to visits each city once is $24$ .