Sorry for resurrecting this thread, but I just thought I'd pass on some advice I got. I had a lot of trouble with the F Major myself, so I know how hard it can be. What I did was I asked Christopher Schlegel for advice on it, and he suggested starting with the two middle strings, third fret on the D-string and second fret on the G-string, and only play those two strings until I could do that. After that, add the first fret on the B-string, and play those three strings and gradually practice laying the index finger down to press down both the B and the e strings. It really helped me nail the F in only a couple of days, and I hope it will help future guitarists too. It's a simple exercise that also helps you learn to control your strumming (useful for the B-chord, which requires only strumming the 4 middle-strings.