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IMAS 2024–2025 — Junior Division — Round 2 Question 11

IMAS · IMAS 2024–2025 — Junior Division — Round 2

Question 11

In how many ways can we paint each of the six vertices of hexagon $ABCDEF$ using one of the three colours red, green and yellow, such that no two adjacent vertices have the same colour? One colouring is shown below, where R means red, G means green and Y means yellow.

Question illustration