Can somebody explain why not just make a die with 5! sides, and roll it once to decide the order? With each side having a unique order printed e.g. 12345 -> 12354 -> ...
Especially, that 120-sided dice are already invented and commercially available.
120 sided dice roll for a long time and don't have much room for printing
> Can somebody explain why not just make a die with 5! sides, and roll it once to decide the order?
Hey, that’s a good idea—now we just need to decide who rolls the die. …Well, if we had a set of die that each player could roll one of, and the highest number rolled gets to roll the 120-sided die. Of course, we’d have to ensure that there’s no chance of a tie.
Hmm… this idea has legs…
Because the question isn’t can you make a rice with 5! Sides but can you make it so 5 players can roll simultaneously individual dice with a minimal number of sides per dice and never tie and always be fair.
Sure you can fly a helicopter to the top of Everest, but it’s not the same as climbing Everest even if the outcome is the same.