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MathNet 2024-part-03 — 168 problems (EN–VI) Question 62

Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)

Question 62

Marina wants to colour each cell of a $5 \times 5$ table red or blue, so that every cell shares at most one side with a cell of the same colour. How many colourings of the table are possible?

(A) 30
(B) 45
(C) 46
(D) 50
(E) 90