$\begin{array}{1 1}(A)\;468000\\(B)\;466000\\(C)\;467800\\(D)\;463000\end{array} $

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

No of letters =2

There are 26 letters so,with no repetition

$\Rightarrow $ There can be $26\times 25$

$\Rightarrow 650$

No of digits =3

There are 10 digits

Hence the no of digits with no repetitions

$\Rightarrow 10\times 9\times 8$

$\Rightarrow 720$

Total no of ways of making the plates =$720\times 650$

$\Rightarrow 468000$

Hence (A) is the correct answer.

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