Three classes, four races, and SIX different backgrounds—all of which have an impact on the story—for a grand total of 66 unique possibilities (discounting unsusable combinations), and that's not even beginning to take into account the decisions that you can make in-game.

These choice-heavy narrative RPGs are designed to be replayed with different characters so it's really weird that there is sucཧh a strict limitation on the number of characters that can be made. The number of save slots on console were limited (to 100 IIRC) in previous games, but within that you could make as many characters as you lik𝓰ed