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Zorluk: ZorSeating Arrangement

Five specialized chefs—Aris, Blair, Cole, Dana, and Ellis—are seated in a single row of five chairs (numbered 1 to 5 from left to right) facing the audience for a culinary panel. Each chef specializes in a different cuisine: Grill, Pastry, Sauté, Sushi, and Vegan. Based on the rules below, arrange the chefs in their correct seating order from extreme left (Position 1) to extreme right (Position 5).

1. The Sushi chef sits exactly in the middle.
2. Dana sits second to the left of the Vegan chef.
3. Aris, who is the Grill chef, sits at one of the extreme ends.
4. Blair sits immediately to the right of the Pastry chef.
5. Cole is the Sauté chef and sits somewhere to the left of the Pastry chef.

  1. 1Cole
  2. 2Dana
  3. 3Blair
  4. 4Ellis
  5. 5Aris

Cevap

The correct seating order from left to right is Cole, Dana, Blair, Ellis, and Aris.
Following the seating constraints strictly leaves only one possible configuration. The Sushi chef is in the middle (Position 3). Dana must be at Position 2 and the Vegan chef at Position 4 to accommodate Blair sitting immediately to the right of the Pastry chef (meaning Dana is Pastry, Blair is Sushi). Cole must sit left of Dana, securing Position 1. Aris requires an extreme end, taking Position 5, leaving Ellis at Position 4.

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1
Identify the occupant of the middle seat (Position 3).
The Sushi chef is at Position 3.
Rule 1 explicitly states the Sushi chef sits exactly in the middle of the five chairs.
2
Determine the possible positions for Dana and the Vegan chef.
Dana is at Position 2, and the Vegan chef is at Position 4.
Rule 2 states Dana is second to the left of the Vegan chef. The Vegan chef cannot be at Position 3 (Sushi). If the Vegan chef were at Position 5, Dana would be at Position 3 (Sushi), which creates an impossible conflict later since Blair must sit immediately right of the Pastry chef. Therefore, the Vegan chef must be at 4, placing Dana at 2.
3
Locate the Pastry chef and Blair's position.
Dana is the Pastry chef (Position 2), and Blair is the Sushi chef (Position 3).
Rule 4 states Blair is immediately right of the Pastry chef. The only valid adjacent spots where the right spot is open for Blair (since Vegan is at 4 and Grill is Aris) are Positions 2 and 3. Thus, Pastry is at 2.
4
Place Cole based on his relative position constraint.
Cole sits at Position 1.
Rule 5 states Cole (Sauté chef) sits left of the Pastry chef (Dana, at Position 2). Only Position 1 is available to the left.
5
Place Aris and Ellis in the remaining seats.
Aris is at Position 5, and Ellis is at Position 4.
Rule 3 states Aris (Grill) must be at an extreme end. With Position 1 taken by Cole, Aris must be at Position 5. Ellis fills the last remaining seat at Position 4 as the Vegan chef.

Anahtar Kavram

Linear seating arrangements with multi-variable constraints (name, profession, and relative position).
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Konular

Seating Arrangement

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