Counting Ordered Pairs

How many ordered pairs of integers \((x,y) \) are there, subject to \( 1 \leq x \leq 10, 1 \leq y \leq 10 \), such that

\[ (x-5)(y-5) = 0? \]

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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