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MATH / License plates in the newly established state of Atlantis consist of three…

Problem

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problem

License plates in the newly established state of Atlantis consist of three letters followed by three digits. The first letter must be a vowel (y is not considered a vowel), and no letter can be repeated. The first digit must be one of {1,2,4,6}\{1,2,4,6\}, which corresponds to the location the license was issued. No digit may be repeated. How many possible license plates exist?
Plain-text mathematical notation (without MathML)
License plates in the newly established state of Atlantis consist of three letters followed by three digits.  The first letter must be a vowel (y is not considered a vowel), and no letter can be repeated.  The first digit must be one of {1,2,4,6}, which corresponds to the location the license was issued.  No digit may be repeated.  How many possible license plates exist?
Original LaTeX notation
License plates in the newly established state of Atlantis consist of three letters followed by three digits.  The first letter must be a vowel (y is not considered a vowel), and no letter can be repeated.  The first digit must be one of $\{1,2,4,6\}$, which corresponds to the location the license was issued.  No digit may be repeated.  How many possible license plates exist?

level

Level 3

type

Counting & Probability

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Source and history

task_id
6ae77e5c-0dc3-57ea-b414-295d6e9887e5
task_key
counting~5fand~5fprobability--test--6ae77e5c-0dc3-57ea-b414-295d6e9887e5
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import