A:Answer Three for sure, four with a bit of tinkering.
The video card can support 1 HDMI and 2 DisplayPort cables and the onboard graphics on the mobo has an HDMI as well. You'll probably need to turn the option on in the BIOS to support a fourth display with onboard graphics (it was disabled by default on mine).
I'm currently running 3 monitors and it works great even while streaming a video on one screen, playing a game, & chatting on the third. There is a bit of tearing when switching between. I haven't tried playing a game that would benefit from 3 or 4 (like a driving simulator), but I imagine it will do fine.
