I've got a puzzle I'm working on and I'm a little obsessed with it. It's been a long time since I've worked with permutations, way back in high school actually.
Anyway given a stack of four dice (normal six siders) how many ways can they be arranged( position AND orientation), so how many different ways can they be ordered and facing.
The order is easy it's just 4! so 24 possible positions. Then the orientations come in. Each dice can be facing six ways at any position. So I came up with 6X6X6X6 = 24 orientations at each position and with 24 positions 24X24 = 576.
Am I doing this right?