Rubik's Cube

If you are curious, the number of possible positions of a Rubik’s cube is

\(\frac{8!\cdot 12!\cdot 3^8\cdot 2^{12}}{2\cdot 3\cdot 2}=43252003274489856000\)

So it will keep you busy.

In the 1980’s the cube a record holder had solved it in about 20 seconds while today the current record holder solved it in under 5 seconds.

Machines can do it even faster, and you have to imagine some discrete mathematics was involved.

Possible Exam Question

In total, how many little blocks make up the Rubik's Cube and how many colors does it consist of?

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