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

Question

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is (A) 9 (B) 27 (C) 81 (D) 512

Tardigrade Admin · Accepted Answer

The number of places in a 3 × 3 matrix is 9 . Also, each place has two choices i.e., either 2 or 0. ∴ The number of possible matrices of order 3 × 3 with each entry 2 or 0 is 29 i.e., 512 .

Q. Total number of possible matrices of order $3 \times 3$ with each entry 2 or 0 is

9

27

81

512

The number of places in a $3 \times 3$ matrix is 9 .
Also, each place has two choices i.e., either 2 or 0.
$∴$ The number of possible matrices of order $3 \times 3$ with each entry 2 or 0 is $2^{9}$ i.e., 512 .

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

9

27

81

512

The number of places in a 3×3 matrix is 9 . Also, each place has two choices i.e., either 2 or 0. ∴ The number of possible matrices of order 3×3 with each entry 2 or 0 is 29 i.e., 512 .

Q. Total number of possible matrices of order $3 \times 3$ with each entry 2 or 0 is

The number of places in a $3 \times 3$ matrix is 9 .
Also, each place has two choices i.e., either 2 or 0.
$∴$ The number of possible matrices of order $3 \times 3$ with each entry 2 or 0 is $2^{9}$ i.e., 512 .