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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 ?

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
?

Grade:12

1 Answers

Latika Leekha
askIITians Faculty 165 Points
6 years ago
We are required to find the number of all possible matrices of order 3 × 3 with each entry 0 or 1.
The number of entries in a square matriox of order 3 x 3 = 9.
we consider teh position (1, 1).
This position can be filled in 2 ways, with either 0 or 1.
Hence, the same holds true for all the entries.
Hence, the total number of possible entries = 29
= 512.
This is the required answer.
Thanks & Regards
Latika Leekha
askIITians Faculty

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