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AIMO 2021 Primary 5 — Preliminary (Open Trial 1) Question 5

AIMO · AIMO 2021 Primary 5 — Preliminary (Open Trial 1)

Question 5

In the figure below, how many triangles can be formed using any three points as the vertices?

Editorial convention: Interpret the intended dot pattern as a regular 3-by-3 rectangular grid.

Original choices: A: 16; B: 56; C: 64; D: 9.

Answer-format convention: Give the exact result as a short answer; the source choices are retained above.

Question illustration