Question

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​

Answer 1

Question :

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

Solution :

A matrix of order 3×3 has total 9 elements.

According to question each entry should be of 0 or 1.

Hence there are 2 ways of writing each element.

Total no. of possible matrixes = 2 × 2 × 2 ×2 × 2 × 2 × 2 ×2 × 2

$\implies$ Total no. of possible matrix = $\tt {2}^{9}$

$\implies$ Total no. of possible matrix = 512

$\therefore$ Total no. of possible matrixes = 512

Correct Option :

The correct option is option D.

Answer 2

Answer:-

Correct option is D.512

The number of possible entries of 3×3 matrix is 9

Every entry has two choices, 0 or 1

Thus, total number of choices is

2×2×2×2×2×2×2×2×2=2

9

=512

Hence, the correct option is D. 512.

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