Question about random character assignment

[Puzzler]

If you play a classic game with 6 players and random character assignment, are you guaranteed that each person will get a different character role?

[Puzzler]

From the "create game" interface, I was able to determine that the answer to my question is: yes, by default there will be a uniform balance of characters, so 6 character types for 6 players should mean each player gets unique types.

[drwr]

Yes, this is true.

Of course, if you have more players than character types, some character types will necessarily be repeated; but other than this exception the game tries to make character assignment as balanced as possible.