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Seven people, C, D, E, F, J, K and L, are sitting in a row, facing north. Only three people sit between D and J. L sits to the immediate left of J. No one sits to the right of K. Only two people sit between K and L. C sits to the immediate right of E. How many people sit between F and C?
Four
One
Two
Three
Two
Fix the anchor point with no neighbors first; here, K must be at the extreme right (position 7), then place L at position 4 and J at position 5 to satisfy the constraints.
Fix the anchor point with no neighbors first; here, K must be at the extreme right (position 7), then place L at position 4 and J at position 5 to satisfy the constraints.
Establish the row structure
There are 7 positions. 'No one sits to the right of K' means K is at position 7. 'Only two people sit between K and L' implies L is at position 4 (7 - 3 = 4).
Place J and D
L sits to the immediate left of J, so J is at position 5. 'Only three people sit between D and J' means D must be at position 1 (5 - 4 = 1).
Final positioning
We have positions 1(D), 4(L), 5(J), 7(K). Positions 2, 3, and 6 remain. 'C sits to the immediate right of E' fits only in 2 and 3 (E at 2, C at 3). The remaining person F must be at position 6.
Counting between F and C
The arrangement is: 1:D, 2:E, 3:C, 4:L, 5:J, 6:F, 7:K. People between C (pos 3) and F (pos 6) are L and J (positions 4 and 5). Total count = 2.
A: Four is incorrect as only two people exist between them. B: One is incorrect because it ignores the presence of both L and J. D: Three is incorrect because it exceeds the actual count of people between them.
C is correct because the final arrangement D, E, C, L, J, F, K shows exactly two people (L and J) between C and F.
In row seating puzzles, always identify the 'anchors' (people at ends or fixed positions) before placing variable neighbors to reduce branching possibilities.