The number of possible matrices of order 3 × 3 with each entry 2 or 0 is
Question:

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

(a) 9

(b) 27

(c) 81

(d) none of these

Solution:

In a matrix of order $3 \times 3$, there are 9 elements.

Each element of the matrix have two options (either 2 or 0 ).

Hence, total number of possible matrices are $2^{9}$.

Hence, the correct option is (d).