Suppose each license plate in a certain state has one digit, followed by four letters, followed by one digit. The letters F, O, S, and X and the digit 0 are not used. So, there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?

Suppose each license plate in a certain state has one digit, followed by four letters, followed by one digit. The letters F, O, S, and X and the digit 0 are not used. So, there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 the possible item groups or their sorting measures can be determined with counting principles.

Question

Suppose each license plate in a certain state has one digit, followed by four letters, followed by one digit. The letters F, 0, S, and X and the digit 0 are not
used. So, there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using
this format?
| llcense plates
xplanation
Check
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FI1
F10
D00 FA

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