Explanation:

Let’s break down the clues:

- 10 people, two rows: Row 1 (A-E) faces south, Row 2 (P-T) faces north.

- Q is third to the right of P, and one of them is at an end. That means their row (Row 2) is: [P/Q, _, _, Q/P, _, _].

- A sits to the immediate left of the person facing P. Since rows face each other, row positions align like a mirror; left for row 1 is right for row 2.

- C is third to the right of B, and B is at the end of row 1. So, [B, _, _, _, C].

- R is immediate left of S in Row 2.

- Neither A nor B sits next to E.

Matching up people face-to-face depends on position; the i-th seat in one row faces the i-th in the other.

Now about the answer options:

1. A, S — Check if A and S are aligned. Not likely from clues.

2. B, R — B is at end, but from R's placement and above clues, not matching.

3. T, D — No clue T or D directly align.

4. P, C — If B is at the end (leftmost), C is third right. Looking at row 2, P aligns with C’s seat — this matches all positioning statements!

5. Q, E — Not matching placements.

So, put simply, option 4: P & C do face each other.

Every piece of the logic supports it:

- C is third right of B; P is on the end or near it, and Q is 3rd right of P; their alignment matches up.

- None of the other options can logically align face-to-face with the constraints.

That’s the pair facing each other.