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MathNet 2007-part-03 — 185 problems (EN–VI) Question 96

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 96

Compute
$$
\left\lfloor\frac{2007!+2004!}{2006!+2005!}\right\rfloor
$$
(Note that $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$.)