Question
Mathematics Question on Matrices
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is:
A
27
B
18
C
81
D
512
Answer
512
Explanation
Solution
The given matrix of the order 3 × 3 has 9 elements and each of these elements can be either 0 or 1.
Now, each of the 9 elements can be filled in two possible ways.
Therefore, by the multiplication principle, the required number of possible matrices is 29 = 512