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For the moment assume the faces are enumerated from #1 to #6, there are 6! = 1 * 2 * 3 * 4 * 5 * 6 = 720 ways (permutations) to paint 6 things with 6 different given colours .
However, as repetitions (aided by rotation) are not to count towards our total the colours are limited by the number of possible rotations for each face; namely, 4. Therefore, the answer is 6!/4! = 720/24= 30
For the moment assume the faces are enumerated from #1 to #6, there are
ReplyDelete6! = 1 * 2 * 3 * 4 * 5 * 6 = 720
ways (permutations) to paint 6 things with 6 different given colours .
However, as repetitions (aided by rotation) are not to count towards our total the colours are limited by the number of possible rotations for each face; namely, 4.
Therefore, the answer is 6!/4! = 720/24= 30
Right on spot buddy
ReplyDelete