Number of ways to stack N cubes.Once you get a particular stack of 4 cubes let's say, the order of the cubes doesn't matter, just which sides are being shown does.I'm generally finding 2 numbers:1) 6 ∗ 24 n − 1 and2) 3 ∗ 24 n − 1 Which is the correct answer, and why?

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Number of ways to stack   N cubes.Once you get a particular stack of   4 cubes let&#039;s say, the order of the cubes doesn&#039;t matter, just which sides are being shown does.I&#039;m generally finding   2 numbers:1)   6  ∗      24          n      −      1      and2)   3  ∗      24          n      −      1      Which is the correct answer, and why?

Agrebbef4l93 · Accepted Answer

Your solutions presuppose that the cubes are identical; this is not the case in Instant Insanity. If they are all distinguishable you are missing a factor of   N  !.The smaller possible solution is valid under the assumption that a stack is regarded as identical with that stack produced by turning the original stack upside down. The larger solution regards these two stacks as different.

Number of ways to stack N cubes. Once you get a particular stack of 4 cubes let's say, the

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