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A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system

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I am pretty positive the answer is 17,576

LLNNN, we contain 676000 combinations available for license plates.

How to estimate the number of possible license plates?

The number on license plates exists in the form LLNNN, where L denotes a letter and N denotes a number.

As L can be anything from A to Z, there exist 26 combinations for that and as repetition stands allowed, for second and third letters, we also contain 26 combinations available, and therefore 26 × 26 = 676 combinations for letters.

But numbers exist from 0 to 9 i.e. 10 combinations for each place and a total of 10 × 10 × 10 = 1000 combinations.

Therefore, LLNNN, we contain 676000 combinations available for license plates.

To learn more about combinations

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