# Alphabet Combinatorics

Level pending

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

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