Concept explainers
To find: How many different plates are possible?
Answer to Problem 18RE
21600
Explanation of Solution
Given:
A license plate consists of 1 letter, excluding O and I, followed by a 4-digit number that cannot have a 0 in the lead position.
Calculation:
The generalized basic principle of counting.
We need to choose a license plate consisting of 1 letter, excluding O and I, followed by a 4-digit number that cannot have a 0 in the lead position.
First letter cannot be O or I.
Hence number of choices for 1st letter is 24.
The second position cannot have digit 0.
Number of choices for each 2nd position is 9.
3rd and 4th digit can have 10 choices.
Therefore the number of options for the plate is .
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