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Difficulty: MediumSeating Arrangement

Six delegates (Aisha, Bilal, Chloe, David, Elena, and Farid) are seated in a single row of chairs facing North. The chairs are numbered consecutively from Seat 1 (leftmost) to Seat 6 (rightmost).

The seating arrangement is determined by the following conditions:
1. Farid is seated immediately to the right of Elena.
2. Chloe is seated immediately to the right of David.
3. There are exactly two delegates seated between Aisha and Bilal.
4. Elena is seated at Seat 5.
5. Aisha is seated to the left of Elena, but to the right of Chloe.

Match the following delegates to their correct seat numbers.

  • BilalSeat 1
  • DavidSeat 2
  • AishaSeat 4
  • FaridSeat 6

Answer

Bilal sits at Seat 1, David at Seat 2, Aisha at Seat 4, and Farid at Seat 6.
By anchoring Elena at Seat 5 and extending Farid to Seat 6, the remaining constraints deterministically force David and Chloe into Seats 2 and 3. This leaves only Seats 1 and 4 for Bilal and Aisha, correctly separated by two seats.

Step-by-Step Solution

1
Place Elena and Farid based on direct statements.
Elena is at Seat 5, and Farid is at Seat 6.
Rule 4 explicitly places Elena at Seat 5. Rule 1 states Farid is to her immediate right. Since they are facing North, the immediate right is the next higher seat number.
2
Determine the possible positions for David and Chloe.
David must be at Seat 2 and Chloe at Seat 3.
Rule 5 states Aisha is to the right of Chloe and left of Elena, meaning Chloe must be at Seat 3 or lower. Rule 2 states Chloe is immediately right of David. If David were at Seat 1 and Chloe at Seat 2, Aisha would be at Seat 3 or 4, which creates a conflict when trying to place Bilal with exactly two seats apart. Thus, David takes Seat 2 and Chloe takes Seat 3.
3
Place Aisha and Bilal in the remaining seats.
Aisha is at Seat 4, and Bilal is at Seat 1.
With Seats 2, 3, 5, and 6 occupied, only Seats 1 and 4 remain. Rule 5 states Aisha is right of Chloe (Seat 3), so Aisha must be at Seat 4. Rule 3 states there are two seats between Aisha and Bilal. Seat 4 and Seat 1 have exactly two seats (Seats 2 and 3) between them, confirming Bilal is at Seat 1.

Key Concept

Linear Seating Arrangement with Position and Neighbor Constraints
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Topics

Seating Arrangement

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