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Zorluk: OrtaSeating Arrangement

Six friends—Alan, Brian, Clara, David, Elena, and Fiona���are sitting around a regular hexagonal table, with one person at each corner. All of them are facing the center of the table. Their seating arrangement is determined by the following clues:

- Alan sits second to the left of Clara.
- Elena sits exactly opposite to Brian.
- David sits to the immediate right of Elena.

Based on this information, match each person to the description of their correct seating position.

  • FionaSits exactly opposite to Alan
  • BrianSits to the immediate left of Clara
  • DavidSits second to the right of Fiona
  • ClaraSits to the immediate right of Brian

Cevap

Fiona matches with 'Sits exactly opposite to Alan'; Brian matches with 'Sits to the immediate left of Clara'; David matches with 'Sits second to the right of Fiona'; and Clara matches with 'Sits to the immediate right of Brian'.
The correct pairings are derived from the single, unique seating arrangement dictated by the clues: Clara (1), Brian (2), Alan (3), David (4), Elena (5), and Fiona (6) in a clockwise order. This directly aligns each individual with their corresponding relative description.

Adım Adım Çözüm

1
Establish a numbering system and place the first two individuals.
Assume Clara sits at position 1. Alan sits at position 3.
Numbering the six corners clockwise from 1 to 6 helps track positions. Since everyone faces the center, 'left' means moving clockwise. Alan sits second to the left of Clara, so moving two steps clockwise from position 1 places Alan at position 3.
2
Identify the possible positions for the opposite pair, Elena and Brian.
Elena and Brian must occupy positions 2 and 5.
In a regular hexagon, the opposite pairs are (1,4), (2,5), and (3,6). Since positions 1 and 3 are already occupied by Clara and Alan, the only fully empty opposite pair is 2 and 5.
3
Determine the exact positions of Elena, Brian, and David.
Elena is at position 5, Brian is at position 2, and David is at position 4.
David sits to the immediate right of Elena. Facing the center, 'right' means moving counter-clockwise. If Elena were at position 2, her immediate right would be position 1, which Clara already occupies. Therefore, Elena must be at position 5. Her immediate right is position 4, where David sits. Consequently, Brian takes position 2.
4
Place the final person and finalize the pairings.
Fiona sits at position 6. The complete clockwise arrangement is: Clara (1), Brian (2), Alan (3), David (4), Elena (5), Fiona (6).
Fiona takes the last remaining seat. Matching these fixed positions to the provided descriptions yields the correct unique pairs.

Anahtar Kavram

Circular/Polygonal seating arrangement with inward-facing orientation, requiring the deduction of absolute positions using relative placement and opposite pairs.
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Konular

Seating Arrangement

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