How does rebirth work for arahant and non-arahants?

I read in a sutta a few days ago (I can't remember the exactly where) that the question of rebirth after parinibbana is not a valid one, because there was no one to be reborn. But if anatta is valid not just for arahants, but for all conditioned phenomena as well, does that mean that rebirth is also not applicable for non-arahants either? Thanks for your time!