SOLUTION: A delivery route must include stops at four cities. How many different routes are possible?

Algebra.Com
Question 624070: A delivery route must include stops at four cities. How many different routes are possible?

Answer by math-vortex(648)   (Show Source): You can put this solution on YOUR website!
Hi, there--

The Problem:
A delivery route must include stops at four cities. How many different routes are possible?

A Solution:

Each possible trip has four stops.
There are 4 ways to choose the first city on the route.
After you've chosen the first city, there are 3 ways to choose the second city.
Likewise, there are 2 ways to choose the third city.
There is only one city left to be the fourth city on your route.

Using the Fundamental Principle of Counting, we multiply
4*3*2*1 = 24

There are 24 different routes possible.

Please email me if you have questions about this solution. I'd appreciate the feedback; it will help me become a better "explainer."

Ms.Figgy
math.in.the.vortex@gmail.com

RELATED QUESTIONS

A Federal Express delivery route must include stops in four cities. How many different... (answered by jim_thompson5910)
An overnight express company must include eleven cities on its route. How many different... (answered by stanbon)
A delivery driver has 10 packages left to deliver. How many different routes are... (answered by Boreal)
A tourist in France wants to visit 9 different cities. How many different routes are... (answered by )
A delivery route must include stops at three cities. If the route is randomly selected,... (answered by edjones)
With a short time remaining in the​ day, a delivery driver has time to make deliveries... (answered by ikleyn)
An ups driver has 6 major stops to make in a day. How many different routes are... (answered by jim_thompson5910)
Greyhound bus services 7 cities within a 300 mile radius. You must make a route for a... (answered by edjones)
A telephone number consists of seven digits, the first three representing the ex-... (answered by ikleyn)