You can take the product of the permutations as the result.
The only problem with that is that you need to pick an order to roll the dice in order to pick the order to rank the players.
But happily, we have a set of dice that pick the order to roll the dice. Now we only need to pick an order to roll the dice to pick the order to roll the dice to pick the order to play.
Comments
I think the (implied) constraint is that each person gets to roll one die, and the highest die roll wins.
You can take the product of the permutations as the result.
The only problem with that is that you need to pick an order to roll the dice in order to pick the order to rank the players.
But happily, we have a set of dice that pick the order to roll the dice. Now we only need to pick an order to roll the dice to pick the order to roll the dice to pick the order to play.
But ...