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

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

Matrices

Solution:

In a $3 \times 3$ matrix, there are 9 elements and it is given that each element can take two values. So, the total number of matrices having 0 and 1 as their elements is $2^9=512$.