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Eight persons A, B, C, D, E, F, G and H are sitting in a line and an equal number of persons are facing north and south direction. Not more than two consecutive adjacent persons face in the same direction. Persons at extreme ends face in the same direction. A sits third to the right of D, who sits immediately right of H. H faces north direction. Two people sit between A and E. D does not sit at the extreme end. B sits immediately right of C and both face south direction. B and A are not adjacent to each other. G does not face south.
how to solve this problem?
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Eight persons A, B, C, D, E, F, G and H are sitting in a line and an e...
To solve the seating arrangement problem, follow these detailed steps:

Understanding the Initial Conditions
- There are 8 persons: A, B, C, D, E, F, G, and H.
- Equal numbers face North and South, with extreme ends facing the same direction.
- No more than two consecutive persons can face the same direction.

Setting the Known Positions
1. **H's Position**:
H faces North, and D sits immediately to the right of H. Therefore, H is in position 1 (North) and D is in position 2 (South).
2. **A's Position**:
A sits third to the right of D, which places A in position 5.
3. **E's Position**:
There are two persons between A and E, placing E in position 2.

Determining Remaining Positions
- Current arrangement:
- Position 1: H (North)
- Position 2: D (South)
- Position 3: C (South)
- Position 4: B (South)
- Position 5: A (North)
- Position 6: E (North)
- Position 7: F (South)
- Position 8: G (North)
- Since B sits immediately to the right of C, both are facing South, confirming their positions.

Final Arrangements
- The final arrangement is:
- Position 1: H (North)
- Position 2: D (South)
- Position 3: C (South)
- Position 4: B (South)
- Position 5: A (North)
- Position 6: E (North)
- Position 7: F (South)
- Position 8: G (North)
This arrangement satisfies all the conditions provided in the problem.
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Eight persons A, B, C, D, E, F, G and H are sitting in a line and an equal number of persons are facing north and south direction. Not more than two consecutive adjacent persons face in the same direction. Persons at extreme ends face in the same direction. A sits third to the right of D, who sits immediately right of H. H faces north direction. Two people sit between A and E. D does not sit at the extreme end. B sits immediately right of C and both face south direction. B and A are not adjacent to each other. G does not face south.how to solve this problem?
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