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Sets A and B, shown in the venn diagram, have the same number of elements. Thier union has 2007 elements and their intersection has 1001 elements. Find the number of elements in A. [asy] defaultpen(linewidth(0.7)); draw(Circle(origin, 5)); draw(Circle((5,0), 5)); label("\(A\)", (0,5), N); label("\(B\)", (5,5), N); label("\(1001\)", (2.5, -0.5), N);[/asy] $$ \textbf{(A)}\: 503\qquad \textbf{(B)}\: 1006\qquad \textbf{(C)}\: 1504\qquad \textbf{(D)}\: 1507\qquad \textbf{(E)}\: 1510\qquad $$
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C
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