Orienting a Die

A standard 6-sided die has the property that the numbers on any two opposite sides add up to seven.

How many distinct ways are there of orienting the numbers on a standard 6-sided die?

Details and Assumptions:

  • "Distinct" ways implies that you can't pick it up and reorient it to have the numbers appear on the same faces as in the original orientation.

  • It has nothing to do with the orientation of the pips on a single side.

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