Match the compounds given in Column I with the oxidation state of cobalt present in it (given in Column II) and assign the correct code.
`{:(,"Column I (Compound)",,"Column I (Oxidation state of Co)"),("A".,[Co(NCS)(NH_(3))_(5)](SO_(3)),1.,+4),("B".,[Co(NH_(3))_(4)Cl_(2)]SO_(4),2.,0),("C".,Na_(4)[Co(S_(2)O_(3))_(3)],3.,+1),("D".,[Co_(2)(CO)_(8)],4.,+2),(,,5.,+3):}`

Options

A. `{:("A (1)","B (2)","C (4)","D (5)"):}`
B. `{:("A (4)","B (3)","C (2)","D (1)"):}`
C. `{:("A (5)","B (1)","C (4)","D (2)"):}`
D. `{:("A (4)","B (1)","C (2)","D (3)"):}`

Explanation

To solve the problem of matching the compounds with the oxidation states of cobalt, we will analyze each compound in Column I and determine the oxidation state of cobalt in each case.

### Step-by-Step Solution:

**Step 1: Analyze Compound A - [Co(NCS)(NH3)5](SO3)**
- Ligands: NCS (−1 charge), NH3 (neutral, 0 charge), SO3 (−2 charge).
- Let the oxidation state of cobalt be \( x \).
- The equation for the charge balance is:
\[ x - 1 + 0 - 2 = 0 \]
- Simplifying gives:
\[ x - 3 = 0 \implies x = +3 \]

**Step 2: Analyze Compound B - [Co(NH3)4Cl2]SO4**
- Ligands: NH3 (neutral, 0 charge), Cl (−1 charge), SO4 (−2 charge).
- Let the oxidation state of cobalt be \( x \).
- The equation for the charge balance is:
\[ x + 0 - 1 \times 2 - 2 = 0 \]
- Simplifying gives:
\[ x - 2 - 2 = 0 \implies x = +4 \]

**Step 3: Analyze Compound C - Na4[Co(S2O3)3]**
- Ligands: Na (each +1 charge, total +4 for 4 Na), S2O3 (−2 charge).
- Let the oxidation state of cobalt be \( x \).
- The equation for the charge balance is:
\[ 4 + x - 2 \times 3 = 0 \]
- Simplifying gives:
\[ 4 + x - 6 = 0 \implies x = +2 \]

**Step 4: Analyze Compound D - [Co2(CO)8]**
- Ligands: CO (neutral, 0 charge).
- Let the oxidation state of cobalt be \( x \).
- The equation for the charge balance is:
\[ 2x + 0 = 0 \]
- Simplifying gives:
\[ 2x = 0 \implies x = 0 \]

### Summary of Findings:
- **Compound A**: Oxidation state of Co = +3
- **Compound B**: Oxidation state of Co = +4
- **Compound C**: Oxidation state of Co = +2
- **Compound D**: Oxidation state of Co = 0

### Matching with Column II:
- A matches with +3 (5)
- B matches with +4 (1)
- C matches with +2 (4)
- D matches with 0 (2)

### Final Code Assignment:
- A - 5
- B - 1
- C - 4
- D - 2

Thus, the correct option is **3**.