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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:

There are in total 9 entries and each entry can be selected in exactly 2 ways. Hence, the total number of all possible matrices of the said type is $2^9$.