Suppose that we wish to make a three-letter word in the following way. The first letter is chosen among the first nine letters of the Latin alphabet (A, B, …, H, I), the second letter among the next nine letters (J, K, …, Q, R), and the third letter among the last 8 letters of the alphabet (S, T, …, Y, Z).

(i) How many different words (not necessarily meaningful) are possible?

(ii) If all three letter words are equiprobable, what is the probability that the three-letter word contains at least one of the letters A, E, I, O, U, Y?