# 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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