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# If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary.Then what is the rank of the word RACHIT?

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

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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
Hence $5!+5!+5!+5!$
$5!=5\times 4\times 3\times 2\times 1=120$
$120+120+120+120=480$