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MathNet 2020 — Math Olympiad Vault — Part 05 Question 61

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 61

Calculate the value of
$$
A=\frac{1001 \cdot 1002 \cdot 1003 \cdot \ldots \cdot 2000}{1 \cdot 3 \cdot 5 \cdot \ldots \cdot 1999}
$$