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Question

10. The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is:(A) 27(B) 18(C) 81(D) 512

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Solution

The correct option is (D).

The matrix of order 3×3 has a total of 9 elements and each of these elements can be either 0 or 1 .

Therefore, using the multiplication principle, the number of all possible matricesis,

2 9 =512

Thus, the correct answer is 512.


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