A license plate consists of 2 letters followed by 1 digit. How many license plates are possible if the first letter can be any letter except I or O, the digit cannot be 0, and no letters or digits may repeat?

Question

Computers & Technology

Patricia Wilkins

18 December, 13:49

A license plate consists of 2 letters followed by 1 digit. How many license plates are possible if the first letter can be any letter except I or O, the digit cannot be 0, and no letters or digits may repeat?

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Answers (1)

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Jillian Thornton · Answer 1

5400

Explanation:

As there are three spaces to be filled. First can have any alphabet, but not i and o. And there are 26 alphabets so, only one out of 24 can be filled in the first blank. In the second blank any alphabet can be used, but not the one same as the first one so we can choose from the remaining 25 alphabets. In the last blank any number can be chosen, but not 0 so we have 9 options to choose from.

Finally, the number of options available is 24*25*9 = 5400. So, 5400 license plates can be made using these combinations.