Painting The Die

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math

In how many different ways may the numbers on a single die be marked, with the only condition that the 1 and 6, the 2 and 5, and the 3 and 4 must be on opposite sides? It is a simple enough question, and yet it will puzzle a good many people.

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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