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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

Answers (1)

D)

As the above matrix has a total 3× 3 = 9 element, then

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 =  2^9 = 512

Clearly it matches with option D.
Hence we can say that,

∴ Option (D) is the only correct answer.

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