Question

Alice was playing around with numbers one day. She was trying to put numbers from 1 to 3 in the circles in the diagram shown, so that the circles on the ends of any line don’t have the same number. She realised that there would be multiple ways to do this, but she noticed that her solution gave the smallest possible sum of the eight numbers used. What was this sum? Bonus Point: Prove that this is the lowest possible sum.

Answer 1

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