<P> The number a of positions that require n any (half or quarter) turns and number q of positions that require n quarter turns only are: </P> <Table> <Tr> <Th> n </Th> <Th> </Th> <Th> q </Th> <Th> a (%) </Th> <Th> q (%) </Th> </Tr> <Tr> <Td> 0 </Td> <Td> </Td> <Td> </Td> <Td> 0.000027% </Td> <Td> 0.000027% </Td> </Tr> <Tr> <Td> </Td> <Td> 9 </Td> <Td> 6 </Td> <Td> 0.00024% </Td> <Td> 0.00016% </Td> </Tr> <Tr> <Td> </Td> <Td> 54 </Td> <Td> 27 </Td> <Td> 0.0015% </Td> <Td> 0.00073% </Td> </Tr> <Tr> <Td> </Td> <Td> 321 </Td> <Td> 120 </Td> <Td> 0.0087% </Td> <Td> 0, 0033% </Td> </Tr> <Tr> <Td> </Td> <Td> 1847 </Td> <Td> 534 </Td> <Td> 0.050% </Td> <Td> 0.015% </Td> </Tr> <Tr> <Td> 5 </Td> <Td> 9992 </Td> <Td> 2256 </Td> <Td> 0.27% </Td> <Td> 0.061% </Td> </Tr> <Tr> <Td> 6 </Td> <Td> 50136 </Td> <Td> 8969 </Td> <Td> 1.36% </Td> <Td> 0.24% </Td> </Tr> <Tr> <Td> 7 </Td> <Td> 227536 </Td> <Td> 33058 </Td> <Td> 6.19% </Td> <Td> 0.90% </Td> </Tr> <Tr> <Td> 8 </Td> <Td> 870072 </Td> <Td> 114149 </Td> <Td> 23.68% </Td> <Td> 3.11% </Td> </Tr> <Tr> <Td> 9 </Td> <Td> 1887748 </Td> <Td> 360508 </Td> <Td> 51.38% </Td> <Td> 9.81% </Td> </Tr> <Tr> <Td> 10 </Td> <Td> 623800 </Td> <Td> 930588 </Td> <Td> 16.98% </Td> <Td> 25.33% </Td> </Tr> <Tr> <Td> 11 </Td> <Td> 2644 </Td> <Td> 1350852 </Td> <Td> 0.072% </Td> <Td> 36.77% </Td> </Tr> <Tr> <Td> 12 </Td> <Td> 0 </Td> <Td> 782536 </Td> <Td> 0% </Td> <Td> 21.3% </Td> </Tr> <Tr> <Td> 13 </Td> <Td> 0 </Td> <Td> 90280 </Td> <Td> 0% </Td> <Td> 2.46% </Td> </Tr> <Tr> <Td> 14 </Td> <Td> 0 </Td> <Td> 276 </Td> <Td> 0% </Td> <Td> 0.0075% </Td> </Tr> </Table> <Tr> <Th> n </Th> <Th> </Th> <Th> q </Th> <Th> a (%) </Th> <Th> q (%) </Th> </Tr> <Tr> <Td> 0 </Td> <Td> </Td> <Td> </Td> <Td> 0.000027% </Td> <Td> 0.000027% </Td> </Tr>

How many combinations are there for a 2x2 rubik's cube