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Seven people, A, B, D, L, X, Y and Z, are sitting in a row, facing north. Only Z sits to the right of D. Only three people sit to the left of A. Only three people sit between D and L. Y sits at some place to the left of X but at some place to the right of B. How many people sit between B and X?
One
Two
Three
Four
Three
Place the fixed entities first: A (4th from left) and D (must have 3 to the right, so 4th from left, but A is there, waitтАФD must be at pos 3 or 4, check constraints).
Place the fixed entities first: A (4th from left) and D (must have 3 to the right, so 4th from left, but A is there, waitтАФD must be at pos 3 or 4, check constraints).
Establish Positions
Total 7 seats. A has 3 to left, so A is at position 4 (_ _ _ A _ _ _). D has only Z to the right, meaning Z is at 7 and D is at 6? No, 'Only Z sits to the right of D' means D is at pos 6, Z is at pos 7. D and L have 3 people between, so L must be at pos 2 (6-3-1=2).
Fill remaining
Current: _ L _ A _ D Z. Remaining: B, X, Y. Y is between B and X (B < Y < X). B must be at 1, Y at 3, X at 5. Sequence: B, L, Y, A, X, D, Z. Wait, checking constraints again: '3 between D and L' (D=6, L=2 тЖТ 6-2-1=3), 'Y left of X and right of B' (B < Y < X). Positions: 1:B, 2:L, 3:Y, 4:A, 5:X, 6:D, 7:Z.
Calculate Count
B is at 1, X is at 5. People between them are at positions 2, 3, 4 (L, Y, A). Count = 3.
A: Incorrect; B: Incorrect; D: Incorrect. Three people (L, Y, A) sit between B and X.
Three is correct because after placing the people according to the constraints (B, L, Y, A, X, D, Z), there are exactly three people between B (pos 1) and X (pos 5).
In row puzzles, always place the anchor points (like 'only 3 to the left of A') first, then map the relative constraints one by one.