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

Question

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is (A) 18 (B) 512 (C) 81 (D) none of these

Tardigrade Admin · Accepted Answer

There are in total 9 entries and each entry can be selected in exactly 2 ways. Hence, the total number of all possible matrices of the said type is 29.

Q. The number of all possible matrices of order 3 $\times$ 3 with each entry 0 or 1 is

18

512

81

none of these

There are in total 9 entries and each entry can be selected in exactly 2 ways. Hence, the total number of all possible matrices of the said type is $2^{9}$ .

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

18

512

81

none of these

There are in total 9 entries and each entry can be selected in exactly 2 ways. Hence, the total number of all possible matrices of the said type is 29.

Q. The number of all possible matrices of order 3 $\times$ 3 with each entry 0 or 1 is

There are in total 9 entries and each entry can be selected in exactly 2 ways. Hence, the total number of all possible matrices of the said type is $2^{9}$ .