The number of alkanols and ethers represented by the molecular formulae `C_(3) H_(8) O and C_(4) H_(10) O` respectively are gives by the set :

Options

A. 2,1 , 3,2
B. 1, 2 , 2,3
C. 2,1 , 4,5
D. 2,1 , 3,4

Answer

To solve the problem, we need to determine the number of alkanols (alcohols) and ethers that can be formed from the molecular formulas \( C_3H_8O \) and \( C_4H_{10}O \).

### Step 1: Analyze \( C_3H_8O \) for Alkanols

1. **Identify the structure**:
- The molecular formula \( C_3H_8O \) indicates there are 3 carbon atoms.

2. **Possible Structures**:
- The first structure is **1-Propanol**: \( CH_3CH_2CH_2OH \)
- The second structure is **Isopropyl alcohol** (2-Propanol): \( CH_3CHOHCH_3 \)

3. **Count the Alkanols**:
- Total alkanols from \( C_3H_8O \): **2**

### Step 2: Analyze \( C_3H_8O \) for Ethers

1. **Possible Structure**:
- The only ether that can be formed is **Ethyl methyl ether**: \( C_2H_5OCH_3 \)

2. **Count the Ethers**:
- Total ethers from \( C_3H_8O \): **1**

### Step 3: Analyze \( C_4H_{10}O \) for Alkanols

1. **Identify the structure**:
- The molecular formula \( C_4H_{10}O \) indicates there are 4 carbon atoms.

2. **Possible Structures**:
- The first structure is **1-Butanol**: \( CH_3CH_2CH_2CH_2OH \)
- The second structure is **2-Butanol**: \( CH_3CH(OH)CH_2CH_3 \)
- The third structure is **Tert-Butanol**: \( (CH_3)_3COH \)

3. **Count the Alkanols**:
- Total alkanols from \( C_4H_{10}O \): **3**

### Step 4: Analyze \( C_4H_{10}O \) for Ethers

1. **Possible Structures**:
- The first ether is **Diethyl ether**: \( C_2H_5OC_2H_5 \)
- The second ether is **Propyl methyl ether**: \( C_3H_7OCH_3 \)

2. **Count the Ethers**:
- Total ethers from \( C_4H_{10}O \): **2**

### Final Count

- For \( C_3H_8O \): 2 alkanols and 1 ether
- For \( C_4H_{10}O \): 3 alkanols and 2 ethers

### Conclusion

The final answer is:
- Alkanols from \( C_3H_8O \): 2
- Ethers from \( C_3H_8O \): 1
- Alkanols from \( C_4H_{10}O \): 3
- Ethers from \( C_4H_{10}O \): 2

Thus, the set is \( \{2, 1, 3, 2\} \).