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MathNet 2025-part-01 — 187 problems (EN–VI) Question 104

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 104

A $4 \times 4$ grid consists of 25 vertex points formed by its horizontal and vertical lines. Coloring a cell colors its four corner vertex points. In how many distinct ways can cells be colored so that every vertex point is colored at least once?
(Batzorig Undrakh)