The members carrying zero force (i.e. zero-force members) in the truss shown in the figure, for any load $P > 0$ with no appreciable deformation of the truss (i.e.with no appreciable change in angles between the members), are

1. $BF$ and $DH$ only
2. $BF, DH,$ and $GC$ only
3. $BF, DH, GC, CD$ and $DE$ only
4. $BF, DH, GC, FG$ and $GH$ only