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Question

The number of all possible matrices of order $$3*3$$ with each entry $$0$$ or $$1$$ is


A
9
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B
18
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C
27
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D
512
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Solution

The correct option is D $$512$$
The number of possible entries of $$3\times 3$$ matrix is $$9$$.

Every entry has two choices, $$0$$ or $$1$$

Thus, total number of choices is

$$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^9=512$$

Hence, the correct option is D. $$512$$.

Mathematics

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