I'm an introvert and like to have a quiet place of my own. I work way better this way. I'm not alone in my office, though, we're 2 in the same room, and the door is always open, and everyone else in keeps his office's door open unless they need privacy. Best of both worlds.
I can't work with music/headphones. I tried, but it doesn't seem to work for me as I tend to focus on the music.