Question 11
In the small country of Mathland, all automobile license plates have four symbols. The first must be a vowel (A, E, I, O, or U), the second and third must be two different letters among the $21$ non-vowels, and the fourth must be a digit (0 through $9$). If the symbols are chosen at random subject to these conditions, what is the probability that the plate will read “AMC8”?