Alphabet Combinatorics

Let $E$ = { $a,b,c, .. . ,z,y,z$ } be the set of the $26$ English alphabets. Find the number of $5$ -letter words that can be formed from E such that the first and last letters are distinct vowels and the remaining three are distinct consonants , Let $\zeta$ Be The Solution !

What are the last 3 digits of $\zeta$ ?

Note : $Y$ Is A Consoant