$\begin{array}{1 1}(A)\;120\\(B)\;240\\(C)\;360\\(D)\;480\end{array} $

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

Total number of ways in which all letters of the word GARDEN can be arranged =6!

There are two vowels in the word GARDEN

Total number of ways in which these two vowels can be arranged =2!

$\therefore$ Total number of required ways =$\large\frac{6!}{2!}$

$\Rightarrow \large\frac{6\times 5\times 4\times 3\times 2!}{2!}$

$\Rightarrow 360$

Hence (C) is the correct answer.

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