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In a certain state, each automobile license plate number consists of two letters followed by a three-digit number. To avoid confusion between "o" and "zero" and between "I" and "one", the letters "O" and "I" are not used. How many distinct license plate numbers can be formed in this state? Step 1 There are a total of G events in this situation. The first two events are the choices of the letters and the rest of the events are the choices of the numbers. The English alphabet contains 26 letters. However, the letters "O" and "I" are not used and therefore there are only 24 | 24 choices for the first letter. A number plate can have the same letter in the two letter places. Therefore, there are 24 v 24 choices for the second letter. Step 2 Because there are a total of x digits, there are x choices for each digit in the three-digit number of the license plate number.

In a certain state, each automobile license plate number consists of two letters followed by a three-digit number. To avoid confusion between "o" and "zero" and between "I" and "one", the letters "O" and "I" are not used. How many distinct license plate numbers can be formed in this state? Step 1 There are a total of G events in this situation. The first two events are the choices of the letters and the rest of the events are the choices of the numbers. The English alphabet contains 26 letters. However, the letters "O" and "I" are not used and therefore there are only 24 | 24 choices for the first letter. A number plate can have the same letter in the two letter places. Therefore, there are 24 v 24 choices for the second letter. Step 2 Because there are a total of x digits, there are x choices for each digit in the three-digit number of the license plate number.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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8.5 q2 Please fill in the boxes with the x marks with the correct answer thanks.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise In a certain state, each automobile license plate number consists of two letters followed by a three-digit number. To avoid confusion between "O" and "zero" and between "I" and "one", the letters "O" and "I" are not used. How many distinct license plate numbers can be formed in this state? Step 1 There are a total of 5 5 events in this situation. The first two events are the choices of the letters and the rest of the events are the choices of the numbers. The English alphabet contains 26 letters. However, the letters "O" and "I" are not used and therefore there are only 24 24 choices for the first letter. A number plate can have the same letter in the two letter places. Therefore, there are 24 A 24 choices for the second letter. Step 2 Because there are a total of x digits, there are x choices for each digit in the three-digit number of the license plate number.
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise In a certain state, each automobile license plate number consists of two letters followed by a three-digit number. To avoid confusion between "O" and "zero" and between "I" and "one", the letters "O" and "I" are not used. How many distinct license plate numbers can be formed in this state? Step 1 There are a total of 5 5 events in this situation. The first two events are the choices of the letters and the rest of the events are the choices of the numbers. The English alphabet contains 26 letters. However, the letters "O" and "I" are not used and therefore there are only 24 24 choices for the first letter. A number plate can have the same letter in the two letter places. Therefore, there are 24 A 24 choices for the second letter. Step 2 Because there are a total of x digits, there are x choices for each digit in the three-digit number of the license plate number.
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