Step 1: Steric Strain Considerations.
To determine the most stable conformation, we need to minimize steric strain by placing bulky substituents in the equatorial positions of a chair conformation. In this case, the substituents are the bromine (Br) and hydroxyl (OH) groups.
Step 2: Evaluate the Conformations.
- In option (1), the bulky groups (Br and OH) are in the equatorial positions, which minimizes steric hindrance. This conformation will be the most stable.
- Other options involve either axial positions for the bulky groups or a less favorable arrangement, leading to higher steric strain.
Step 3: Conclusion.
Thus, the most stable conformation is option (1).
Final Answer: \[ \boxed{\text{(1)}} \]
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