$\begin{array}{1 1}(A)\;480\\(B)\;479\\(C)\;481\\(D)\;484\end{array} $

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- $n!=n(n-1)(n-2)(n-3)......(3)(2)(1)$

If we arrange in alphabetical order we get A C H I

Words start with A=5!

Words start with C=5!

Words start with H=5!

Words start with I=5!

Words start with R is RACHIT

Hence $5!+5!+5!+5!$

$5!=5\times 4\times 3\times 2\times 1=120$

$120+120+120+120=480$

Hence words with R is RACHIT

Thus 480+1=481

Hence (C) is the correct answer.

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