Problem 11 (2015 AMC 8)

In the small country of Mathland, all automobile license plates have $4$ symbols. The first must be a vowel (A, E, I, O, or U), the second and third must be $2$ 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''?