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The number of 2 × 2 matrices that can be formed by using 1, 2, 3, 4 without repetition is

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answer is A.

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Detailed Solution

Let $A = {[\begin{matrix} - & - \\ - & - \end{matrix}]}_{2 \times 2}$

We can arrange 1, 2, 3, 4 numbers in four places by ${}^{4}{P_{4}} = 4!$ ways

$∴$ No. Of matrices are 24

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