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Number of Elements in a Cartesian Product

If the sum of...

Question

If the sum of two coprime numbers $x, y (x < y)$ is $20,$ then the total possible number of ordered pair(s) $(x, y)$ is

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Solution

$x + y = 20$
Possible pairs with $x < y$ are
$(1, 19), (3, 17), (7, 13), (9, 11)$

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