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# What is the 7th word in the arrangement of the permuted words formed by the letters of the word 'SWISS' as per the alphabetical order as in dictionary?

$\begin{array}{1 1} SSSIW \\ SISSW \\ SIWSS \\ SISWS \end{array}$

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## 1 Answer

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First of all we get words starting with I=$\large\frac{4!}{3!}$$=4\:words Then we get the words starting with SI=\large\frac{3!}{2!}$$=3\:words$
$i.e.,$ 'SISSW', SISWS, SIWSS as $5^{th},\:6^{th}\:and\:7^{th}$ words respectively.
$\therefore\:the\:7^{th}\:word\:is\:\:'SIWSS'$
answered Aug 12, 2013

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