Understanding the Complex Compound
The complex compound in question is [Cu(II)(NH3)4][Pt(II)Cl4]. To analyze the possible isomers, we need to consider both coordination and geometric isomerism.

1. Coordination Isomers
Coordination isomers occur when the ligand arrangements differ between the metal centers. Here, we have:
- **Copper Complex**: [Cu(NH3)4]
- This complex does not exhibit isomerism because it has a tetrahedral geometry with identical ligands.
- **Platinum Complex**: [Pt(Cl)4]
- This platinum complex has the potential for isomerism due to the square planar geometry. The four chloride ligands can be arranged in different configurations.

2. Geometric Isomers
For the platinum complex, we can have:
- **Cis Isomer**: Two chloride ligands are adjacent to each other.
- **Trans Isomer**: Two chloride ligands are opposite each other.
These configurations lead to two distinct geometric isomers for the platinum complex.

3. Summary of Isomers
Considering the above points, the total possible isomers for the entire complex [Cu(II)(NH3)4][Pt(II)Cl4] can be summarized as:
- **Cis Isomer 1** (Pt)
- **Trans Isomer 1** (Pt)
- **Cis Isomer 2** (Pt)
- **Trans Isomer 2** (Pt)
Thus, the total number of isomers is **4**.

Conclusion
In conclusion, the complex [Cu(II)(NH3)4][Pt(II)Cl4] contains four isomers due to the different arrangements of chloride ligands in the platinum complex, while the copper complex remains unchanged in its configuration.