A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities in Florida. He wants to plan his travel so that all cities in each state are visited consecutively. (For example, he might visit all the Georgia cities, then all the Florida cities, and then all the Mississippi cities.) If an aid puts together a travel plan which lists the 10 cities in the order they will be visited, how many different lists are possible? Answer=

This is a counting problem, and we will solve this using the concept of permutations.

Answered: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities in Florida. He wants to plan his travel so that all cities…

Advanced Engineering Mathematics

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …

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A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities in Florida. He wants to plan his travel so that all cities in each state are visited consecutively. (For example, he might visit all the Georgia cities, then all the
Florida cities, and then all the Mississippi cities.)
If an aid puts together a travel plan which lists the 10 cities in the order they will be visited, how many different lists are possible?
Answer =

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