Question

Find the number of all possible matrices of order 2x3 with each entry 0 or 1​

Answer 1

Answer:

In a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the four spaces.

Thus the total number of such matrices will be 2×2×2×2 = 2⁴ matrices.

Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.

Answer 2

Answer: 64

Matrices are of order 2x3

As order of  2×3 matrix contains 6 elements. Each element can be selected in 2 ways (it can be either 0 or 1).

Therefore, all 6 entries can be chosen in $2^6$ = 64.

<3