$\begin{array}{1 1}(A)\;360\\(B)\;325\\(C)\;350\\(D)\;175\end{array} $

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Total no of letters =6

No of letters used at a time =4

No of ways =$6C_4$

$\Rightarrow \large\frac{6!}{4!2!}$

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

$\Rightarrow 15$

No of ways of using 4 letters =4!

$\Rightarrow 4\times 3\times 2$

$\Rightarrow 24$

The total no of ways =$15\times 24$

$\Rightarrow 360$

Hence (A) is the correct answer.

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