The fingering for the Fmaj7 would work, but you can only strum the strings that you are fingering. If you look at it, the 3 notes make up the triad for an F major chord (F, A, and C). If you want to strum the high e string too, you need to fret it for an F note.

The x's over the strings in the diagram you found indicate you don't strike those strings. It's an Fmaj7 *shape*, but it's an F chord if you only strike those strings.

One way to look at this chord is compare it to an open C. From the C, you bring your ring and middle fingers over a string and now take your index finger and lay it down over the B and E strings. As it turns out, C to F to C is a popular chord change.

So, if you can to a C chord well, you can apply that here.

Just keep trying different things that work for you and you'll get it. Time and patience!