Let us determine the number of isomers for each given complex:
- [Fe(en)3]Cl3: It is an octahedral complex of type [M(AA)3]n+. It lacks any plane or centre of symmetry and therefore exhibits optical isomerism, existing as a pair of enantiomers (d and l forms). Total isomers = 2.
- [Co(en)2Cl2]Cl: It is of the type [M(AA)2b2]n+. It exhibits geometrical isomerism forming cis and trans isomers. The trans-isomer is optically inactive due to the presence of a plane of symmetry, while the cis-isomer is optically active and exists as d and l enantiomers. Total stereoisomers = 3.
- [Fe(PPh3)3NH3ClBr]Cl: It is an octahedral complex of type [Ma3bcd]n+. It exhibits geometrical isomerism and forms exactly 4 geometrical isomers. These consist of 1 facial (fac) isomer (where the three identical ligands occupy the corners of a single octahedral face) and 3 meridional (mer) isomers. The three mer isomers arise because the third 'a' ligand can be placed trans to ligand 'b', 'c', or 'd' respectively. Total geometrical isomers = 4.
- [Co(PPh3)3Cl]Cl3: It is of the type [Ma3b]n+ and does not show stereoisomerism. Total isomers = 1.
Therefore, the compound [Fe(PPh3)3NH3ClBr]Cl will give four geometrical isomers.