What is the order of word 'ZENITH' in the dictionary?

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Solution

Arrange the letters of Word ZENITH in correct alphabetical order.

E,H,I,N,T,Z

Thus words starting with E,H,I,N,T $= 5 \times 5!$

Now words with Z started

$Z E H - 3!$ , $Z E I - 3!$ , $Z E N H - 2!$ , $Z E N I T H - 1$

$5 \times 5! + 2 \times 3! + 2! + 1$

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