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 $3 \times 3$ with each entry 0 or 1 is

(a) 27

(b) 18

(c) 81

(d) 512

Solution:

(d) 512

There are 9 elements in a $3 \times 3$ matrix and one element can be filled in two ways, either with 0 or 1 .

Thus,

Total possible matrices $=2^{9}=512$

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