The Coloured Buckets
Assume Jeff has three buckets coloured red, blue and green. There are tokens labelled 1 - 13 in the buckets. Jeff wants to arrange the tokens so that the following rules will not be broken: 1 must go in the red bucket. No bucket has 3 numbers where a number is the sum of the other 2. No bucket as 2 numbers where one is double the other. Is this possible?
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1 solution
One possible solution is 1, 4, 7, 10, and 13 in the red bucket; 2, 3, 11, and 12 in the blue bucket; and 5, 6, 8, and 9 in the green bucket.