How many possible combinations are there on a Rubik's Cube?

Answer 1

There are 8 corner pieces with 3 orientations each, 12 edge pieces with 2 orientations each, giving a maximum of 8!·12!·38·212 positions. This limit is not reached because:

• The total twist of the cubes is fixed (3)
• The total number of edge flips is even (2)
• The pieces have an even permutation (2)

This leaves 8!·12!·37·210 = 43,252,003,274,489,856,000 or 4.3·1019 positions.

Total Positions

There are exactly 43,252,003,274,489,856,000 permutations, which is approximately forty-three quintillion. The puzzle is often advertised as having only "billions" of positions, as the larger numbers could be regarded as incomprehensible to many. To put this into perspective, if every permutation of a 57mm Rubik's Cube were lined up end to end, it would stretch out approximately 261 light-years.

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Answer 2

43 Quintillion ..im serious too, and not meaning shaking it. I'm just specifying, the number of permutations of the cube would be 8!*12!/2*3^7*2^11 or 43,252,003,274,489,856,000. Then you subtract 1 (or the solved cube) to get 43,252,003,274,489,855,999. That's true.. but it is actually easy to solve it =). Once i did it in about 34 seconds...My fastest time I believe that there are a lot more than 1 collect solution because you need to consider that in a rubik cube with picture you can finish rubik with the color only but center of the picture still disoriented. Therefore the collect way for normal rubik should be at least 4 orientation for each center for 6 dimensions.

Answer 3

An infinite amount of solutions. Reason why is because you could turn the cube 1,000 times to solve it, or 2,000 times to solve it, or... well, you get my point.

If you were looking for Permutations, here's the original answer:

There are 43,252,003,274,489,856,000 (43 quintillion, 252 quadrillion, 3 trillion, 274 billion, 489 million, 856 thousand) possible solutions for the cube, but there is only one correct one!

Answer 4

There are 519,024,039,293,878,272,000 possible permutations, although only 1 in 12 of them are possible without taking the cube apart.

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=43,252,003,274,489,856,000 possible without disassembling the cube.

Answer 5

That is about 43 quintillion ways to solve a Rubik's cube.

Answer 6

There are 519,024,039,293,878,272,000 possible permutations, although only 1 in 12 of them are possible without taking the cube apart.

Answer 7

43,252,003,274,489,856,000

Answer 8

several