Current location - Training Enrollment Network - Mathematics courses - How to use mathematical permutation and combination to calculate how many ways to disrupt the third-order Rubik's cube and how to combine colors?
How to use mathematical permutation and combination to calculate how many ways to disrupt the third-order Rubik's cube and how to combine colors?
A Rubik's cube based on the change of reduced state through normal rotation has about 4.33×10 9 changes.

8 corner blocks can be interchanged (all 8 corner blocks are arranged, 8! ), you can also flip (3 directions for each corner block, 3 eights), but you can't flip a corner block alone (/3), so there are always 8! × 3 8/3 Change the state.

12 blocks are interchangeable (12 blocks are all arranged, 12! ), you can also flip (2 directions per block, 2 12), but you can't flip a block alone (that is, switch its two sides, /2), and you can't swap the positions of two blocks separately (/2), so there is always 12 * *! × 2 12/(2× 2) changes state.

A Rubik's cube can be disassembled at will, with about 20 changes of 5.19×10.

In addition, it is worth noting that a Rubik's cube has a chance of112 being disassembled at will.