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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               (B) 18

(C) 81                (D) 512

Solution

Since, general matrix of order 3 x 3is 

This matrix has 9 elements.

The number of choices for  is 2 (as 0 or 1 can be used)

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

Therefore, total possible arrangements(matrices) = times= 

Therefore, option (D) is correct.

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