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Zorluk: OrtaSeating Arrangement

Six colleagues—Farah, Gauri, Hasan, Imran, Jamal, and Kiran—are seated in a single straight row facing North for a team meeting.

Read the following information to determine their exact seating positions:
1. Jamal sits third to the right of Farah.
2. Neither Jamal nor Farah sits at the extreme ends of the row.
3. Hasan sits to the immediate left of Gauri.
4. Kiran does not sit at the extreme right end of the row.

Arrange the colleagues in their correct seating order from left (Position 1) to right (Position 6).

  1. 1Kiran
  2. 2Farah
  3. 3Hasan
  4. 4Gauri
  5. 5Jamal
  6. 6Imran

Cevap

The correct seating order from left to right is: Kiran, Farah, Hasan, Gauri, Jamal, and Imran.
The correct sequence from left to right is Kiran, Farah, Hasan, Gauri, Jamal, and Imran. By deducing the fixed spacing between Farah and Jamal (who must occupy positions 2 and 5 to avoid the ends), the remaining adjacent seats (3 and 4) are strictly restricted to Hasan and Gauri. Kiran is assigned to the left end (Position 1) because the right end is forbidden for her by the constraints, leaving Imran to take the final open seat at the right end (Position 6).

Adım Adım Çözüm

1
Determine the seating positions of Farah and Jamal.
Farah sits at Position 2 and Jamal sits at Position 5.
Jamal is third to the right of Farah. Since neither can sit at the extreme ends (Positions 1 and 6), Farah must be at Position 2, which places Jamal at Position 5 (2 + 3 = 5).
2
Determine the seating positions of Hasan and Gauri.
Hasan sits at Position 3 and Gauri sits at Position 4.
Hasan is immediately to the left of Gauri. The only two adjacent empty seats in the row (which currently has Positions 1, 3, 4, and 6 empty) are Positions 3 and 4.
3
Determine the seating positions of Kiran and Imran.
Kiran sits at Position 1 and Imran sits at Position 6.
The remaining empty seats are Positions 1 and 6. Since Kiran cannot sit at the extreme right end (Position 6), Kiran must sit at Position 1. Consequently, Imran takes the last remaining seat at Position 6.

Anahtar Kavram

Linear Seating Arrangement with Negative Constraints
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Konular

Seating Arrangement

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