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Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is 

A. 9  

B. 27 

C. 81 

D. 512

1 Answer

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ago by (24k points)
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Best answer

As matrix has total 3× 3 = 9 elements.

As each element can take 2 values (0 or 2)

∴ By simple counting principle we can say that total number of possible matrices = total number of ways in which 9 elements can take possible values = 29 = 512

Clearly it matches with option D.

∴ Option (D) is the only correct answer.

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