In a draw of 32 entries select most probable posting combination as per seeding in Olympic system :
(i) 16th Seed 32nd House
(ii) 2nd Seed 32nd House
(iii) 9th Seed 9th House
(iv) 8th Seed 8th House
(v) 10th Seed 18th House
(vi) 5th Seed 25th House
(vii) 31st Seed 31st House
(viii) 5th Seed 10th House

Question

In a draw of 32 entries select most probable posting combination as per seeding in Olympic system : 
(i) 16th Seed 32nd House 
(ii) 2nd Seed 32nd House 
(iii) 9th Seed 9th House 
(iv) 8th Seed 8th House 
(v) 10th Seed 18th House 
(vi) 5th Seed 25th House 
(vii) 31st Seed 31st House 
(viii) 5th Seed 10th House

Accepted Answer

In the context of a draw with 32 entries in an Olympic system, the objective is to determine the most probable posting combination based on seeding. The correct answer is given as Option 1, which includes the combinations: ii, iv, vi, vii. Let's analyze why this option is correct and why the others are not.

### Explanation for Option 1 (Correct Answer: ii, iv, vi, vii)

1. **ii. 2nd Seed 32nd House**: In an Olympic system, the highest seed is typically placed against the lowest seed in the initial rounds to ensure that the strongest competitors do not face each other early on. Therefore, the 2nd seed being placed in the 32nd house is a logical and probable combination.

2. **iv. 8th Seed 8th House**: The 8th seed being placed in the 8th house is a typical arrangement in seeding systems where seeds are placed in positions that reflect their ranking, ensuring a balanced competition.

3. **vi. 5th Seed 25th House**: This combination follows the principle of placing higher seeds against lower seeds. The 5th seed being placed in the 25th house aligns with the strategy of balancing the draw.

4. **vii. 31st Seed 31st House**: The 31st seed being placed in the 31st house is a straightforward placement, often seen in seeding systems to maintain order and predictability in the draw.

### Explanation for Why Other Options are Incorrect

- **Option 2 (i, ii, v, vii)**:
  - **i. 16th Seed 32nd House**: This combination is less probable because the 16th seed would not typically be placed against the lowest seed (32nd house) in an Olympic system. The 16th seed would likely face a seed closer to its own ranking.
  - **v. 10th Seed 18th House**: This combination does not follow the typical seeding logic where seeds are placed against significantly lower seeds.

- **Option 3 (ii, iv, vi, viii)**:
  - **viii. 5th Seed 10th House**: This combination is less likely because the 5th seed would typically face a much lower seed than the 10th house in the initial rounds.

- **Option 4 (i, ii, vi, viii)**:
  - **i. 16th Seed 32nd House**: As explained earlier, this is not a probable combination in an Olympic system.
  - **viii. 5th Seed 10th House**: Again, this does not align with the typical seeding strategy.

In conclusion, Option 1 is the correct answer because it aligns with the principles of seeding in an Olympic system, where higher seeds are matched against lower seeds to ensure a balanced and fair competition. The other options include combinations that do not adhere to this logic, making them less probable.