Case 1: There are 6 possible orderings.
Case 2: There are 90 possible orderings.
Case 3: There are 2520 possible orderings.
Case 4: There are 113400 possible orderings.
Case 5: There are 7484400 possible orderings.
Case 6: There are 681080400 possible orderings.
Case 7: There are 81729648000 possible orderings.
Case 8: There are 12504636144000 possible orderings.
Case 9: There are 2375880867360000 possible orderings.
Case 10: There are 82890330549595738924128375352277498403022775854137923684377543671801902285904897746019649652421639883795821220526555136000000000000000000000000 possible orderings.
Case 11: There are 1512320141069927292830794807196265837191163227185990884667127141343628308419264602576762793865132405676216938748323204034991879255878057615180191508613939155053711960237046538936384960801183033906052464640000000000000000000000000000000000000 possible orderings.
Case 12: There are 622141359159061300886178874697305933163818446383254522697161421193163541128485956453914920087047451999223452487091679249904477061535041793601109641419932425298478559897116679941352493515869899157799022806060536713964351301920977306650196900088666367320237929952982539094423079640848727571924254720000000000000000000000000000000000000000000000000 possible orderings.