Hi there,

This is an interesting questions because everyone struggles with this. If you're play an A major open chord, then you only have to hold the three notes across the D, G and B strings.

If you play them with y our 1, 2 and 3 finger, it should be alright. Are you saying that you are muting the high E string, or the A string?

And again, for the sake of learning, I would not put too much pressure on yourself to play it perfectly without muting one or two strings in the process. The important thing is that you can move your fingers in time, to place them on the notes that create the chord. The important thing is to be holding the right notes, everything else will come later as you get more comfortable playing.

-Billy