Stupefy rennervate

How many ordered pairs of integers \( (a,b) \) are there, such that \( 100 \leq a \leq 1000, 100 \leq b \leq 1000 \) and

\[ \frac{a}{b} = \frac{12}{21}? \]

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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