Linear Single Row South Facing: Worksheet 10 - Expert Practice Linear Single Row South Facing EXPERT

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- T sits second to the right of P:
South-facing right = viewer's left = lower position: pos[T] = pos[P] - 2
Possible: P=3→T=1, or P=4→T=2
- S sits immediately to the right of P (viewer's right = higher pos): pos[S] = pos[P] + 1
If P=3 → S=4 ✓ (pos 4 free)
If P=4 → S=5 = R ✗ (conflict)
∴ P=3, T=1, S=4

Position: T _ P S R

Step 4: Apply constraint
- Q not adjacent to R (pos 5): Q ≠ pos 4 (taken by S) → Q at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: T Q P S R

Verification:
✓ R at right extreme end (pos 5)
✓ T second to right of P: pos[T](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ S immediately right of P (viewer right): pos 3+1 = 4
✓ Q not adjacent to R (pos 2, not pos 4)

Answer: T sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- P sits second to the right of T:
South-facing right = viewer's left = lower position: pos[P] = pos[T] - 2
Possible: T=3→P=1, or T=4→P=2
- Q sits immediately to the right of T (viewer's right = higher pos): pos[Q] = pos[T] + 1
If T=3 → Q=4 ✓ (pos 4 free)
If T=4 → Q=5 = R ✗ (conflict)
∴ T=3, P=1, Q=4

Position: P _ T Q R

Step 4: Apply constraint
- S not adjacent to R (pos 5): S ≠ pos 4 (taken by Q) → S at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: P S T Q R

Verification:
✓ R at right extreme end (pos 5)
✓ P second to right of T: pos[P](=1)-2 = 3 = pos[T] (south-facing right=lower)
✓ Q immediately right of T (viewer right): pos 3+1 = 4
✓ S not adjacent to R (pos 2, not pos 4)

Answer: P sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- T at the right extreme end → Position 5
- S sits second to the right of P:
South-facing right = viewer's left = lower position: pos[S] = pos[P] - 2
Possible: P=3→S=1, or P=4→S=2
- R sits immediately to the right of P (viewer's right = higher pos): pos[R] = pos[P] + 1
If P=3 → R=4 ✓ (pos 4 free)
If P=4 → R=5 = T ✗ (conflict)
∴ P=3, S=1, R=4

Position: S _ P R T

Step 4: Apply constraint
- Q not adjacent to T (pos 5): Q ≠ pos 4 (taken by R) → Q at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: S Q P R T

Verification:
✓ T at right extreme end (pos 5)
✓ S second to right of P: pos[S](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ R immediately right of P (viewer right): pos 3+1 = 4
✓ Q not adjacent to T (pos 2, not pos 4)

Answer: S sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- T at the right extreme end → Position 5
- R sits second to the right of Q:
South-facing right = viewer's left = lower position: pos[R] = pos[Q] - 2
Possible: Q=3→R=1, or Q=4→R=2
- P sits immediately to the right of Q (viewer's right = higher pos): pos[P] = pos[Q] + 1
If Q=3 → P=4 ✓ (pos 4 free)
If Q=4 → P=5 = T ✗ (conflict)
∴ Q=3, R=1, P=4

Position: R _ Q P T

Step 4: Apply constraint
- S not adjacent to T (pos 5): S ≠ pos 4 (taken by P) → S at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R S Q P T

Verification:
✓ T at right extreme end (pos 5)
✓ R second to right of Q: pos[R](=1)-2 = 3 = pos[Q] (south-facing right=lower)
✓ P immediately right of Q (viewer right): pos 3+1 = 4
✓ S not adjacent to T (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- P sits second to the right of T:
South-facing right = viewer's left = lower position: pos[P] = pos[T] - 2
Possible: T=3→P=1, or T=4→P=2
- Q sits immediately to the right of T (viewer's right = higher pos): pos[Q] = pos[T] + 1
If T=3 → Q=4 ✓ (pos 4 free)
If T=4 → Q=5 = R ✗ (conflict)
∴ T=3, P=1, Q=4

Position: P _ T Q R

Step 4: Apply constraint
- S not adjacent to R (pos 5): S ≠ pos 4 (taken by Q) → S at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: P S T Q R

Verification:
✓ R at right extreme end (pos 5)
✓ P second to right of T: pos[P](=1)-2 = 3 = pos[T] (south-facing right=lower)
✓ Q immediately right of T (viewer right): pos 3+1 = 4
✓ S not adjacent to R (pos 2, not pos 4)

Answer: P sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- Q at the right extreme end → Position 5
- R sits second to the right of T:
South-facing right = viewer's left = lower position: pos[R] = pos[T] - 2
Possible: T=3→R=1, or T=4→R=2
- S sits immediately to the right of T (viewer's right = higher pos): pos[S] = pos[T] + 1
If T=3 → S=4 ✓ (pos 4 free)
If T=4 → S=5 = Q ✗ (conflict)
∴ T=3, R=1, S=4

Position: R _ T S Q

Step 4: Apply constraint
- P not adjacent to Q (pos 5): P ≠ pos 4 (taken by S) → P at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R P T S Q

Verification:
✓ Q at right extreme end (pos 5)
✓ R second to right of T: pos[R](=1)-2 = 3 = pos[T] (south-facing right=lower)
✓ S immediately right of T (viewer right): pos 3+1 = 4
✓ P not adjacent to Q (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- P at the right extreme end → Position 5
- T sits second to the right of S:
South-facing right = viewer's left = lower position: pos[T] = pos[S] - 2
Possible: S=3→T=1, or S=4→T=2
- Q sits immediately to the right of S (viewer's right = higher pos): pos[Q] = pos[S] + 1
If S=3 → Q=4 ✓ (pos 4 free)
If S=4 → Q=5 = P ✗ (conflict)
∴ S=3, T=1, Q=4

Position: T _ S Q P

Step 4: Apply constraint
- R not adjacent to P (pos 5): R ≠ pos 4 (taken by Q) → R at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: T R S Q P

Verification:
✓ P at right extreme end (pos 5)
✓ T second to right of S: pos[T](=1)-2 = 3 = pos[S] (south-facing right=lower)
✓ Q immediately right of S (viewer right): pos 3+1 = 4
✓ R not adjacent to P (pos 2, not pos 4)

Answer: T sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- T sits second to the right of Q:
South-facing right = viewer's left = lower position: pos[T] = pos[Q] - 2
Possible: Q=3→T=1, or Q=4→T=2
- S sits immediately to the right of Q (viewer's right = higher pos): pos[S] = pos[Q] + 1
If Q=3 → S=4 ✓ (pos 4 free)
If Q=4 → S=5 = R ✗ (conflict)
∴ Q=3, T=1, S=4

Position: T _ Q S R

Step 4: Apply constraint
- P not adjacent to R (pos 5): P ≠ pos 4 (taken by S) → P at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: T P Q S R

Verification:
✓ R at right extreme end (pos 5)
✓ T second to right of Q: pos[T](=1)-2 = 3 = pos[Q] (south-facing right=lower)
✓ S immediately right of Q (viewer right): pos 3+1 = 4
✓ P not adjacent to R (pos 2, not pos 4)

Answer: T sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- P at the right extreme end → Position 5
- S sits second to the right of Q:
South-facing right = viewer's left = lower position: pos[S] = pos[Q] - 2
Possible: Q=3→S=1, or Q=4→S=2
- T sits immediately to the right of Q (viewer's right = higher pos): pos[T] = pos[Q] + 1
If Q=3 → T=4 ✓ (pos 4 free)
If Q=4 → T=5 = P ✗ (conflict)
∴ Q=3, S=1, T=4

Position: S _ Q T P

Step 4: Apply constraint
- R not adjacent to P (pos 5): R ≠ pos 4 (taken by T) → R at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: S R Q T P

Verification:
✓ P at right extreme end (pos 5)
✓ S second to right of Q: pos[S](=1)-2 = 3 = pos[Q] (south-facing right=lower)
✓ T immediately right of Q (viewer right): pos 3+1 = 4
✓ R not adjacent to P (pos 2, not pos 4)

Answer: S sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- Q at the right extreme end → Position 5
- R sits second to the right of P:
South-facing right = viewer's left = lower position: pos[R] = pos[P] - 2
Possible: P=3→R=1, or P=4→R=2
- S sits immediately to the right of P (viewer's right = higher pos): pos[S] = pos[P] + 1
If P=3 → S=4 ✓ (pos 4 free)
If P=4 → S=5 = Q ✗ (conflict)
∴ P=3, R=1, S=4

Position: R _ P S Q

Step 4: Apply constraint
- T not adjacent to Q (pos 5): T ≠ pos 4 (taken by S) → T at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R T P S Q

Verification:
✓ Q at right extreme end (pos 5)
✓ R second to right of P: pos[R](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ S immediately right of P (viewer right): pos 3+1 = 4
✓ T not adjacent to Q (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- T at the right extreme end → Position 5
- S sits second to the right of P:
South-facing right = viewer's left = lower position: pos[S] = pos[P] - 2
Possible: P=3→S=1, or P=4→S=2
- R sits immediately to the right of P (viewer's right = higher pos): pos[R] = pos[P] + 1
If P=3 → R=4 ✓ (pos 4 free)
If P=4 → R=5 = T ✗ (conflict)
∴ P=3, S=1, R=4

Position: S _ P R T

Step 4: Apply constraint
- Q not adjacent to T (pos 5): Q ≠ pos 4 (taken by R) → Q at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: S Q P R T

Verification:
✓ T at right extreme end (pos 5)
✓ S second to right of P: pos[S](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ R immediately right of P (viewer right): pos 3+1 = 4
✓ Q not adjacent to T (pos 2, not pos 4)

Answer: S sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- Q at the right extreme end → Position 5
- P sits second to the right of R:
South-facing right = viewer's left = lower position: pos[P] = pos[R] - 2
Possible: R=3→P=1, or R=4→P=2
- T sits immediately to the right of R (viewer's right = higher pos): pos[T] = pos[R] + 1
If R=3 → T=4 ✓ (pos 4 free)
If R=4 → T=5 = Q ✗ (conflict)
∴ R=3, P=1, T=4

Position: P _ R T Q

Step 4: Apply constraint
- S not adjacent to Q (pos 5): S ≠ pos 4 (taken by T) → S at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: P S R T Q

Verification:
✓ Q at right extreme end (pos 5)
✓ P second to right of R: pos[P](=1)-2 = 3 = pos[R] (south-facing right=lower)
✓ T immediately right of R (viewer right): pos 3+1 = 4
✓ S not adjacent to Q (pos 2, not pos 4)

Answer: P sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- Q at the right extreme end → Position 5
- P sits second to the right of S:
South-facing right = viewer's left = lower position: pos[P] = pos[S] - 2
Possible: S=3→P=1, or S=4→P=2
- R sits immediately to the right of S (viewer's right = higher pos): pos[R] = pos[S] + 1
If S=3 → R=4 ✓ (pos 4 free)
If S=4 → R=5 = Q ✗ (conflict)
∴ S=3, P=1, R=4

Position: P _ S R Q

Step 4: Apply constraint
- T not adjacent to Q (pos 5): T ≠ pos 4 (taken by R) → T at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: P T S R Q

Verification:
✓ Q at right extreme end (pos 5)
✓ P second to right of S: pos[P](=1)-2 = 3 = pos[S] (south-facing right=lower)
✓ R immediately right of S (viewer right): pos 3+1 = 4
✓ T not adjacent to Q (pos 2, not pos 4)

Answer: P sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- P at the right extreme end → Position 5
- R sits second to the right of S:
South-facing right = viewer's left = lower position: pos[R] = pos[S] - 2
Possible: S=3→R=1, or S=4→R=2
- Q sits immediately to the right of S (viewer's right = higher pos): pos[Q] = pos[S] + 1
If S=3 → Q=4 ✓ (pos 4 free)
If S=4 → Q=5 = P ✗ (conflict)
∴ S=3, R=1, Q=4

Position: R _ S Q P

Step 4: Apply constraint
- T not adjacent to P (pos 5): T ≠ pos 4 (taken by Q) → T at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R T S Q P

Verification:
✓ P at right extreme end (pos 5)
✓ R second to right of S: pos[R](=1)-2 = 3 = pos[S] (south-facing right=lower)
✓ Q immediately right of S (viewer right): pos 3+1 = 4
✓ T not adjacent to P (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- P at the right extreme end → Position 5
- R sits second to the right of T:
South-facing right = viewer's left = lower position: pos[R] = pos[T] - 2
Possible: T=3→R=1, or T=4→R=2
- Q sits immediately to the right of T (viewer's right = higher pos): pos[Q] = pos[T] + 1
If T=3 → Q=4 ✓ (pos 4 free)
If T=4 → Q=5 = P ✗ (conflict)
∴ T=3, R=1, Q=4

Position: R _ T Q P

Step 4: Apply constraint
- S not adjacent to P (pos 5): S ≠ pos 4 (taken by Q) → S at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R S T Q P

Verification:
✓ P at right extreme end (pos 5)
✓ R second to right of T: pos[R](=1)-2 = 3 = pos[T] (south-facing right=lower)
✓ Q immediately right of T (viewer right): pos 3+1 = 4
✓ S not adjacent to P (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- S at the right extreme end → Position 5
- Q sits second to the right of P:
South-facing right = viewer's left = lower position: pos[Q] = pos[P] - 2
Possible: P=3→Q=1, or P=4→Q=2
- T sits immediately to the right of P (viewer's right = higher pos): pos[T] = pos[P] + 1
If P=3 → T=4 ✓ (pos 4 free)
If P=4 → T=5 = S ✗ (conflict)
∴ P=3, Q=1, T=4

Position: Q _ P T S

Step 4: Apply constraint
- R not adjacent to S (pos 5): R ≠ pos 4 (taken by T) → R at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: Q R P T S

Verification:
✓ S at right extreme end (pos 5)
✓ Q second to right of P: pos[Q](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ T immediately right of P (viewer right): pos 3+1 = 4
✓ R not adjacent to S (pos 2, not pos 4)

Answer: Q sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- T sits second to the right of P:
South-facing right = viewer's left = lower position: pos[T] = pos[P] - 2
Possible: P=3→T=1, or P=4→T=2
- S sits immediately to the right of P (viewer's right = higher pos): pos[S] = pos[P] + 1
If P=3 → S=4 ✓ (pos 4 free)
If P=4 → S=5 = R ✗ (conflict)
∴ P=3, T=1, S=4

Position: T _ P S R

Step 4: Apply constraint
- Q not adjacent to R (pos 5): Q ≠ pos 4 (taken by S) → Q at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: T Q P S R

Verification:
✓ R at right extreme end (pos 5)
✓ T second to right of P: pos[T](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ S immediately right of P (viewer right): pos 3+1 = 4
✓ Q not adjacent to R (pos 2, not pos 4)

Answer: T sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- P at the right extreme end → Position 5
- R sits second to the right of T:
South-facing right = viewer's left = lower position: pos[R] = pos[T] - 2
Possible: T=3→R=1, or T=4→R=2
- S sits immediately to the right of T (viewer's right = higher pos): pos[S] = pos[T] + 1
If T=3 → S=4 ✓ (pos 4 free)
If T=4 → S=5 = P ✗ (conflict)
∴ T=3, R=1, S=4

Position: R _ T S P

Step 4: Apply constraint
- Q not adjacent to P (pos 5): Q ≠ pos 4 (taken by S) → Q at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R Q T S P

Verification:
✓ P at right extreme end (pos 5)
✓ R second to right of T: pos[R](=1)-2 = 3 = pos[T] (south-facing right=lower)
✓ S immediately right of T (viewer right): pos 3+1 = 4
✓ Q not adjacent to P (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- P sits second to the right of S:
South-facing right = viewer's left = lower position: pos[P] = pos[S] - 2
Possible: S=3→P=1, or S=4→P=2
- Q sits immediately to the right of S (viewer's right = higher pos): pos[Q] = pos[S] + 1
If S=3 → Q=4 ✓ (pos 4 free)
If S=4 → Q=5 = R ✗ (conflict)
∴ S=3, P=1, Q=4

Position: P _ S Q R

Step 4: Apply constraint
- T not adjacent to R (pos 5): T ≠ pos 4 (taken by Q) → T at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: P T S Q R

Verification:
✓ R at right extreme end (pos 5)
✓ P second to right of S: pos[P](=1)-2 = 3 = pos[S] (south-facing right=lower)
✓ Q immediately right of S (viewer right): pos 3+1 = 4
✓ T not adjacent to R (pos 2, not pos 4)

Answer: P sits at the left extreme end (position 1).

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- R at the right extreme end → Position 5
- S sits second to the right of P:
South-facing right = viewer's left = lower position: pos[S] = pos[P] - 2
Possible: P=3→S=1, or P=4→S=2
- T sits immediately to the right of P (viewer's right = higher pos): pos[T] = pos[P] + 1
If P=3 → T=4 ✓ (pos 4 free)
If P=4 → T=5 = R ✗ (conflict)
∴ P=3, S=1, T=4

Position: S _ P T R

Step 4: Apply constraint
- Q not adjacent to R (pos 5): Q ≠ pos 4 (taken by T) → Q at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: S Q P T R

Verification:
✓ R at right extreme end (pos 5)
✓ S second to right of P: pos[S](=1)-2 = 3 = pos[P] (south-facing right=lower)
✓ T immediately right of P (viewer right): pos 3+1 = 4
✓ Q not adjacent to R (pos 2, not pos 4)

Answer: S sits at the left extreme end (position 1).