|-----1------|
|-----1------|
|-----2------|
|-----3------|
|------------|
|------------|
Use you're index finger to fret both the 1st and 2nd string. then use your second finger to fret the 3rd string and your third finger to fret the 4th string.
This is an easier position than the full barre chord position that requires fretting all 6 string.
Full acces lesson on the F Major chord
http://guitartricks.com/lesson.php?input=11137&c_id=1&ch_id=6&s_id=441