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UKMT Maclaurin Olympiad, 2018

Combinatorics Difficulty 2.0 Junior Prove it United Kingdom

The diagram shows a circle that has been divided into six sectors of different sizes. Two of the sectors are to be painted red, two of them are to be painted blue, and two of them are to be painted yellow. Any two sectors which share an edge are to be painted in different colours. In how many ways can the circle be painted?

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