Step 1: Fix the extreme left.
T is at the far left, so the leftmost seat is T.
Step 2: Place P and Q together.
Q is immediately right of P, so we have the block P then Q.
Step 3: Use the clue about R.
R sits between Q and S, so the order around them is Q, R, S.
Step 4: Join the pieces.
Starting from T on the left, the chain becomes T, P, Q, R, S.
Step 5: Check it fits five seats.
That is exactly five people with every clue satisfied.
Step 6: Read off the extreme right.
The last person in the row is S.
Step 7: State the answer.
S is sitting at the extreme right. \[ \boxed{S} \]