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?

Accepted Solution

three letters followed by 3 digits equals 6 slots to fill slot one must begin with a e i o or U so there are five ways to pick first slot