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:
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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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.
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!
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.
That is about 43 quintillion ways to solve a Rubik's cube.
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.
43,252,003,274,489,856,000
several
there are 1,929,770,126,028,800 different colour combinations possible on a Rubik cube.
There are 9x6 (54) stickers on a Rubik's Cube.
9
The most mixed up rubiks cube can be solved in 27 moves. There are 43,252,003,274,489,856,000 possible mixed-up arrangements.
7878
48
On a 3x3 there are 9, 4x4 there are 16 and so on. Basically whatever number of squares on one row going across times that number.
There are 43,252,003,274,489,856,000 legal combinations.
The number of combinations - not to be confused with the number of permutations - is 2*21 = 42.
You have 6 choices of cards, two possibilities with the coin and 6 numbers on the cube. The number of combinations is : 6 x 2 x 6 = 72.
43,252,003,274,489,856,000. only one of these, of course, is the solved one. and interestingly, you can get from any of these over 43 quintillion permutations to any other in 20 turns or less, so theoretically, the rubiks cube could always be solved in 20 moves or less. However, this has not been achieved by a human.
There are 72 permutations of two dice and one coin.