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2023 BIMC keystage3-IWYMIC individual Question 14

xIMC · 2023 BIMC keystage3-IWYMIC individual

Question 14

Consider a regular hexagon. Paul wishes to colour each of the vertices of the hexagon in green, red or blue, in such a way that there are no neighbouring vertices coloured in the same colour. What is the total number of ways Paul can do such a colouring?

Section B instruction: Show your detailed solution. Each question is worth 20 points.