Among the following the number of alcohols showing iodoform test is.
`CH_(3)OH,CH_(3)CH_(2)OH,(CH_(3))_(2)CHOH,(CH_(3))_(3)C-OH,CH_(3)CH_(2)CH_(2)CH_(2)OH,CH_(3)CHOHCH_(2)CH_(3),CH_(3)CH_(2)CH_(2)OH,(C_(2)H_(5))_(2)CHOH,CH_(3)CHOHCH(CH_(3))_(2)`

Answer

To determine the number of alcohols that show a positive iodoform test from the given list, we need to identify which of these alcohols contain either a methyl ketone group or a secondary alcohol that can be oxidized to a methyl ketone. The iodoform test is positive for:

1. Methyl ketones (RCOCH3)
2. Ethanol (which can be oxidized to acetaldehyde)
3. Secondary alcohols that can be oxidized to methyl ketones.

Now, let's analyze each compound one by one:

1. **CH₃OH (Methanol)**:
- This is a primary alcohol and does not give a positive iodoform test.
- **Result**: No

2. **CH₃CH₂OH (Ethanol)**:
- Ethanol can be oxidized to acetaldehyde (a methyl ketone), hence it gives a positive iodoform test.
- **Result**: Yes

3. **(CH₃)₂CHOH (Isopropyl alcohol)**:
- This is a secondary alcohol. It can be oxidized to acetone (a methyl ketone), hence it gives a positive iodoform test.
- **Result**: Yes

4. **(CH₃)₃C-OH (Tert-Butyl alcohol)**:
- This is a tertiary alcohol and does not give a positive iodoform test.
- **Result**: No

5. **CH₃CH₂CH₂CH₂OH (Butanol)**:
- This is a primary alcohol and does not give a positive iodoform test.
- **Result**: No

6. **CH₃CHOHCH₂CH₃ (Butan-2-ol)**:
- This is a secondary alcohol. It can be oxidized to methyl ketone, hence it gives a positive iodoform test.
- **Result**: Yes

7. **CH₃CH₂CH₂OH (Propan-1-ol)**:
- This is a primary alcohol and does not give a positive iodoform test.
- **Result**: No

8. **(C₂H₅)₂CHOH (Diethylcarbinol)**:
- This is a secondary alcohol but does not have a methyl group adjacent to the hydroxyl group, hence it does not give a positive iodoform test.
- **Result**: No

9. **CH₃CHOHCH(CH₃)₂ (2-Pentanol)**:
- This is a secondary alcohol. It can be oxidized to a methyl ketone, hence it gives a positive iodoform test.
- **Result**: Yes

Now, let's summarize the results:

- Alcohols that give a positive iodoform test:
- Ethanol
- Isopropyl alcohol
- Butan-2-ol
- 2-Pentanol

Thus, the total number of alcohols that show a positive iodoform test is **4**.

### Final Answer:
The number of alcohols showing iodoform test is **4**.