Find the number of halides which do not exist.
`TiI_(4),TiI_(3),TiI_(2),TiF_(2),TiBr_(2),TiCl_(2),TiF_(4),TiCl_(4),TiCl_(3)`

Explanation

To determine the number of halides of Titanium that do not exist, we need to analyze each halide given in the question based on Titanium's oxidation states and the stability of the compounds formed with different halogens.

### Step-by-Step Solution:

1. **Identify the Oxidation States of Titanium**:
- Titanium (Ti) can exhibit oxidation states of +2, +3, and +4.
- This is due to the removal of electrons from the 4s and 3d orbitals.

2. **List the Given Halides**:
- The halides provided are:
- TiI₄
- TiI₃
- TiI₂
- TiF₂
- TiBr₂
- TiCl₂
- TiF₄
- TiCl₄
- TiCl₃

3. **Analyze Each Halide**:
- **TiI₄**: Titanium can exist in the +4 oxidation state, so TiI₄ exists.
- **TiI₃**: Titanium can exist in the +3 oxidation state, so TiI₃ exists.
- **TiI₂**: Titanium can exist in the +2 oxidation state, so TiI₂ exists.
- **TiF₂**: This halide is problematic because of the small size and high electronegativity of fluorine. TiF₂ does not exist.
- **TiBr₂**: While it can theoretically exist, it is not stable due to the size of bromine compared to titanium. It is less likely to form a stable compound.
- **TiCl₂**: Titanium can exist in the +2 oxidation state, so TiCl₂ exists.
- **TiF₄**: Titanium can exist in the +4 oxidation state, and TiF₄ does exist despite the small size of fluorine.
- **TiCl₄**: Titanium can exist in the +4 oxidation state, so TiCl₄ exists.
- **TiCl₃**: Titanium can exist in the +3 oxidation state, so TiCl₃ exists.

4. **Conclusion**:
- The halides that do not exist are **TiF₂** (definitely does not exist) and **TiBr₂** (theoretically can exist but is not stable).
- Therefore, the total number of halides that do not exist is **2**.

### Final Answer:
The number of halides which do not exist is **2** (TiF₂ and TiBr₂).