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MathNet 2002 — Part 02 Question 112

Math Olympiad Vault · MathNet 2002 — Part 02

Question 112

The expression $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$. Find the value of
$$
\left\lfloor\frac{2002!}{2001!+2000!+1999!+\cdots+1!}\right\rfloor .
$$