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Number of Elements in a Cartesian Product

If the produc...

Question

If the product of two coprime numbers $x$ and $y$ is $36,$ then total number of ordered pairs $(x, y)$ is

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Solution

Factor of $36 = 1, 2, 3, 4, 6, 9, 12, 18, 36$
Possible pairs are
$(1, 36), (4, 9), (9, 4), (36, 1)$

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