# 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