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The Number of All Possible Matrices of Order 3 × 3 with Each Entry 0 Or 1 Is: - Mathematics

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is:

(A) 27

(B) 18

(C) 81

(D) 512

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Solution

The correct answer is D.

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

Now, each of the 9 elements can be filled in two possible ways.

Therefore, by the multiplication principle, the required number of possible matrices is 29 = 512

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APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 10 | Page 65
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