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?

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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Hi, please fill in the boxes with the x mark, please with the correct answer.

Note: 3 is not the answer for the first x mark box, thanks.

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
24 choices for the second letter.
Step 2
Because there are a total of 3
x digits, there are 10
choices for each digit in the
three-digit number of the license plate number.
Transcribed Image Text: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 24 choices for the second letter. Step 2 Because there are a total of 3 x digits, there are 10 choices for each digit in the three-digit number of the license plate number.
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