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Question

Find the number of all possible matrices of order $$3 \times 3$$ with each entry $$0$$ and $$1$$.


Solution

$$ \rightarrow $$ There are $$ 3\times 3 = 9 $$ entries 
In $$ 3\times 3 $$ matrix and at each entry there are $$2$$ choices 
$$ \Rightarrow $$ Total choices $$ = 2 ^{9} =512$$

Mathematics

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