The letters of the word ‘ZENITH’ are written in all possible orders. How many words are possible if all these words are written out as in a dictionary? What is the rank of the word ‘ZENITH’?

E-----=5!

H------=5!

I------=5!

N-----=5!

T-----=5!

ZEH---=3!

ZEI---=3!

ZENH--=2!

ZENTHI=1!

ZENITH=1!.....SO RANK IS 616 

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SORRY THERE IS A MISTAKE...IN 2ND LAST LINE....REPLACE T AND I...

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