I think the answer is infinite once you consider various rhythms and articulations, too. Or are you just meaning different styles?
If you only want 3 notes (CEG) You have root position and 2 inversions, so that's 3 ways, but each of those you can play blocked or broken. Then you could have open voicing like C G in LH, E in RH. or E C in LH, G in RH, etc.
Then if you want more than just 3 notes, you can play 4-note chord blocked and broken and inversions, or with different notes doubled. Then you could play arpeggios one or multiple octaves, hands together or separate, and all those inversions.
It goes on and on especially if you want to add different rhythms and articulations!!