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)

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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