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Seven people, B, C, D, E, F, G, and K, are sitting in a straight line, facing north. Only three people sit to the left of B. Only K sits to the right of G. Only three people sit between G and D. C sits at some place to the left of F but at some place to the right of E. How many people sit between E and F?
One
Four
Three
Two
Three
Fix the positions of people with absolute clues first (people on left of B, people on right of G), then place remaining entities using relative distance and order constraints.
Fix the positions of people with absolute clues first (people on left of B, people on right of G), then place remaining entities using relative distance and order constraints.
Step 1: Determine the Position of B and G/K
There are 7 seats in a straight line (1 to 7 from left to right). 'Only three people sit to the left of B' means B is at position 4. 'Only K sits to the right of G' means K is at position 7 and G is at position 6.
Step 2: Place D and Relative Positions of E, C, F
'Only three people sit between G (pos 6) and D', which places D at position 2. Remaining unoccupied positions are 1, 3, and 5. 'C sits to the left of F and to the right of E' gives the exact relative order E - C - F, placing E at position 1, C at position 2 (Wait, D is at pos 2, let's re-verify: D is at pos 2, so E is at 1, C is at 3, F is at 5).
Step 3: Verify Final Seating Arrangement and Answer
Final sequence from left to right: E (1), D (2), C (3), F
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