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Question -

The number of all possible matricesof order 3 x 3 with each entry 0 or 1 is:




Answer -

(A) 27┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а(B) 18

(C) 81┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а┬а(D) 512

Solution

Since, general matrix of order 3 x 3is┬а

This matrix has 9 elements.

The number of choices for┬а┬аis 2 (as 0 or 1 can be used)

Similarly, the number of choices for each other element is 2.

Therefore, total possible arrangements(matrices) =┬аtimes=┬а

Therefore, option (D) is correct.

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