Out of the following. How many have correct IUPAC naming :-
(1) `[Ni(CN)_(4)]^(2-) `- Tetracyanonickel (II) ion
(2) `[Pt(Py)_(4)][PtCl_(4)]]` - Tetrapyridine plantinum (II) tetrachlopride platinate (II)
(3) `[Ni(dmg)_(2)]` - Bis(dimethylglyoimato) nikel (II)
(4) `K_(3)[Fe(CN)_(5)NO]` - Potassium pentacyanidonitrosylferrate (II)
(5) `[Fe(CO)_(5)]` - Pentacyanocarbonyl Ferrate (O)
(6) `K_(2)[HgI_(4)]` - Potassium tetraiodidomercurate (II)
(7) `[Pt(NH_(3))_(6)] Cl_(4)` Tetraammineplatinum (IV) tetrachlorido cuprate (II)
(8) `[Cu(gly)_(2)]`- Diglycinate copper (II)
(9) `K_(4)[Fe(CN)_(4)]`- Potassium hexacyanidoferrate (II)
(10)` [Pt(NH_(3))_(6) Cl_(4)` - Hexaammine platinum (IV) chloride.

Explanation

To determine how many of the provided coordination complexes have correct IUPAC names, we will analyze each complex and its corresponding name step by step.

### Step 1: Analyze Each Complex

1. **Complex:** `[Ni(CN)_(4)]^(2-)`
**Given Name:** Tetracyanonickel (II) ion
**Analysis:** The name should include the oxidation state of nickel as "nickel(II)" instead of "nickel". Therefore, the correct name is Tetracyanonickel(II) ion.
**Conclusion:** **Incorrect**

2. **Complex:** `[Pt(Py)_(4)][PtCl_(4)]`
**Given Name:** Tetrapyridine platinum (II) tetrachloride platinate (II)
**Analysis:** The name correctly indicates the oxidation state of platinum and the ligands. Thus, the name is correct.
**Conclusion:** **Correct**

3. **Complex:** `[Ni(dmg)_(2)]`
**Given Name:** Bis(dimethylglyoximato) nickel (II)
**Analysis:** The correct ligand name should be "dimethylglyoximato" instead of "glyoimato". Therefore, the name is incorrect.
**Conclusion:** **Incorrect**

4. **Complex:** `K_(3)[Fe(CN)_(5)NO]`
**Given Name:** Potassium pentacyanidonitrosylferrate (II)
**Analysis:** The oxidation state of iron should be +3, not +2. Thus, the correct name is Potassium pentacyanidonitrosylferrate (III).
**Conclusion:** **Incorrect**

5. **Complex:** `[Fe(CO)_(5)]`
**Given Name:** Pentacyanocarbonyl Ferrate (0)
**Analysis:** The correct name should be "iron" instead of "ferrate" since iron is in the zero oxidation state.
**Conclusion:** **Incorrect**

6. **Complex:** `K_(2)[HgI_(4)]`
**Given Name:** Potassium tetraiodidomercurate (II)
**Analysis:** The name correctly indicates the oxidation state of mercury and the ligands. Thus, the name is correct.
**Conclusion:** **Correct**

7. **Complex:** `[Pt(NH_(3))_(6)] Cl_(4)`
**Given Name:** Tetraammineplatinum (IV) tetrachlorido cuprate (II)
**Analysis:** The prefix "tetra" is incorrect as there are six amine ligands. The correct name should be "hexaammine".
**Conclusion:** **Incorrect**

8. **Complex:** `[Cu(gly)_(2)]`
**Given Name:** Diglycinate copper (II)
**Analysis:** The name correctly indicates the ligands and the oxidation state of copper. Thus, the name is correct.
**Conclusion:** **Correct**

9. **Complex:** `K_(4)[Fe(CN)_(4)]`
**Given Name:** Potassium hexacyanidoferrate (II)
**Analysis:** The name incorrectly states "hexa" for four cyanide ligands. The correct name should be Potassium tetracyanidoferrate (II).
**Conclusion:** **Incorrect**

10. **Complex:** `[Pt(NH_(3))_(6) Cl_(4)]`
**Given Name:** Hexaammine platinum (IV) chloride
**Analysis:** The name correctly indicates the ligands and the oxidation state of platinum. Thus, the name is correct.
**Conclusion:** **Correct**

### Summary of Results
- **Correct Names:** 2, 6, 8, 10
- **Incorrect Names:** 1, 3, 4, 5, 7, 9

### Final Count
Out of the 10 complexes, **4 have correct IUPAC naming**.