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Determine an initial seating that satisfies all clues
Label six seats around a circle (clockwise) as 1 through 6. Every person “faces” the center, so “to the left” means the next seat clockwise, and “to the right” means the next seat anticlockwise.Use the five clues together:
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A faces B → A and B must be three seats apart (opposite each other).
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B is to the right of E → B sits immediately anticlockwise from E.
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B is to the left of C → B sits immediately clockwise from C.
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C is to the left of D → C sits immediately clockwise from D.
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F is to the right of A → F sits immediately anticlockwise from A.
One arrangement that meets all five at once is:
Seat 1: A Seat 2: D Seat 3: C Seat 4: B Seat 5: E Seat 6: F
– A (1) faces B (4).
– B (4) is immediately anticlockwise of E (5).
– B (4) is immediately clockwise of C (3).
– C (3) is immediately clockwise of D (2).
– F (6) is immediately anticlockwise of A (1). -
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Apply the two swaps
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D swaps with F → D moves from seat 2 to seat 6; F moves from 6 to 2.
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E swaps with B → E moves from seat 5 to seat 4; B moves from 4 to 5.
After these exchanges, the seats become:
Seat 1: A Seat 2: F Seat 3: C Seat 4: E Seat 5: B Seat 6: D
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Identify who sits to the left of D
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D is now in seat 6.
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To D’s left (clockwise) is seat 1, occupied by A.
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Answer: A sits to the left of D.