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MathNet 2016-part-03 — 184 problems (EN–VI) Question 40

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 40

How many solutions does the equation $x+y+z=2016$ have, where $x$, $y$ and $z$ are integers with $x\gt 1000$, $y\gt 600$, and $z\gt 400$?