Marie-Antoinette, supposedly, said "let them eat cake" as the unwashed masses rioted for bread.

There are a few versions of this story, which one is the right one?

In one, Marie-Antoinette is an out-of-touch aristocrat who has never experienced hunger, wondering why the peasants can't simply settle for a tasty treat in the same way a child might say "why can't we go to the bank and get more money?"

In another, it's a mistranslation and lacking context. As I've heard it, French law said that if bakeries were out of bread, they had to sell fancy brioche at the same price, and she wondered why the peasants couldn't eat brioche.

And in a third, this story never happened. It's sort of an urban legend, predating the French Revolution by at least a century, that became attached to a particular historical figure who fit the characteristics of this story.

Which, if any of these, is the real story?