How many pairs?

How many ordered pairs \((x,y)\) are there with \(x \in \{0,1,2, \ldots, 25\},\) \(y \in \{0,2,4,\ldots, 50\}\) and \(x < y?\)

Details and assumptions

For an ordered pair of integers \((a,b)\), the order of the integers matter. The ordered pair \((1, 2)\) is different from the ordered pair \((2,1) \).

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