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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 14

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 14

Nine identical white balls and three identical black balls are arranged in a row. No two black balls may be adjacent. How many arrangements are possible?

Original printed choices: A: 6; B: 4; C: 3; D: 5.

Editorial format: answer directly; the printed choices are retained for source fidelity. See the solution for the source issue.