Treebeard's Stumper 18 December 98

Holiday Magic

Put the numbers 1 to 12 on the holiday stars, trees, and wreaths shown below, with one number in each design, so they add up to the same sum in each of these seven ways:

• each of the two center columns (tree-wreaths-tree)
• each of the two center rows (star-wreaths-star)
• the four stars together
• the four trees together
• the four wreaths together

The magic sum must be 26. (Why?) How many different ways are there to solve this stumper?

Answer

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