Effectronica posted:

Random HP is in there, yeah. It provides a nice steady increase of an order of magnitude per level.

Exceptional Strength doesn't matter all that much- using all the possibilities gives us a total of 189 permissible combinations, using only the five meaningful categories gives us 94 combinations, dropping it entirely gives us 89 combinations. There are interestingly only 56 possible combinations that don't qualify for any class.

The real explosion comes in from proficiencies, although if we ignore the order in which they were gained, we come back down to the case where there are no proficiencies at max level, which is actually 1.5 trillion possible fighters at level 16.