Chords in the key of F major are derived from F major scale.
Here are the notes of F major scale.
Chords in the key of F major scale
In major scale, first note is major chord, second note is minor chord, third note is minor chord, fourth note is major, fifth note is major, sixth note is minor and seventh note is diminished chord.
Chord sequence follows the pattern Major – minor -minor – Major -Major – minor – diminished
Roman numerals presents the chord position in the scale.