Cmaj is played with (from low to high strings) E-C-E-G-C-e

every chord is defined by a certain set of notes, you learned well

I think you can play a song (eg Cmaj) with the notes E-C-G no matter what octave or what particular order they're in, does that sound right?

but then I got another question
are these other possibilities for C-chords?(I got 6 pages of chords in front of me)
G-C-E-G-C-e
G-x-E-G-C-e
x-C-E-G-C-e (same as top one, only one dead note)
E-A#-F-A#-D-f (this is a weird one..)
x-A#-F-A#-D-E (weird one.. it has 4 notes)

I think the first three are correct, but the last two are weird, still they've been put on the big list of guitar chords :confused: