benchmarks.wiki / Public workspace

Omni-MATH / How many ways, without taking order into consideration, can 2002 be expressed as…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many ways, without taking order into consideration, can 2002 be expressed as the sum of 3 positive integers (for instance, 1000+1000+21000+1000+2 and 1000+2+10001000+2+1000 are considered to be the same way)?
Plain-text mathematical notation (without MathML)
How many ways, without taking order into consideration, can 2002 be expressed as the sum of 3 positive integers (for instance, 1000+1000+2 and 1000+2+1000 are considered to be the same way)?
Original LaTeX notation
How many ways, without taking order into consideration, can 2002 be expressed as the sum of 3 positive integers (for instance, $1000+1000+2$ and $1000+2+1000$ are considered to be the same way)?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import