PAINTING THE DIE

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.

组合数学

来源：

Amusements in Mathematics, Henry Ernest Dudeney 问题 286

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