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Seven people, A, B, C, L, X, Y and Z are sitting in a row, facing north. Only two people sit to the left of A. Only three people sit between A and Y. L sits second to the right of A. Only two people sit between L and Z. C sits at some place to the right of B but at some place to the left of X. How many people sit to the right of C?
Two
Four
Three
One
Three
Arrange the 7 slots and place fixed positions (A is 3rd from left, L is 5th, Y is 7th, Z is 3rd, etc.) first. Use the relative positions for B, C, and X to fill the remaining gaps.
Arrange the 7 slots and place fixed positions (A is 3rd from left, L is 5th, Y is 7th, Z is 3rd, etc.) first. Use the relative positions for B, C, and X to fill the remaining gaps.
Establishment of Positions
Row has 7 slots. A is 3rd from left (1: _, 2: _, 3: A). L is 2nd to right of A, so L is 5th (4: _, 5: L). 3 people between A and Y, so Y is 7th (6: _, 7: Y). 2 people between L and Z, so Z must be 2nd (1: _, 2: Z, 3: A, 4: _, 5: L, 6: _, 7: Y).
Placement of B, C, X
Remaining slots are 1, 4, 6. Condition: B < C < X. The only sequence satisfying this is B at 1, C at 4, X at 6.
Final Verification
Arrangement: B (1), Z (2), A (3), C (4), L (5), X (6), Y (7). C sits at 4th, people to the right are L, X, and Y. Total count = 3.
A: Two is incorrect; B: Four is incorrect; D: One is incorrect.
C is correct because the final arrangement is B, Z, A, C, L, X, Y, placing C at the 4th position with three people (L, X, Y) to his right.
In row-based seating puzzles, always prioritize fixed positions (absolute indices) before using relative conditional constraints.
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