Question

Five persons A, B, C, D, and E sit in a row facing the camera for a photograph. Determine the order from left to right. Conditions:
• D is neither a neighbor of A nor of E.
• B sits at one end and third to the right of E.
• E is not at the center.

• A. A, C, E, D, B
• B. A, D, C, E, B
• C. A, E, C, D, B
• D. C, E, D, A, B

Hint:

In seating arrangement questions, always place the people with fixed positions first. The remaining positions usually become easy to determine.

Answer 1

The Correct Option is A

Step 1: Use the condition involving B and E. B is at one end and third to the right of E. Therefore B must occupy the extreme right position. \[ _ \quad _ \quad _ \quad _ \quad B \] Since B is third to the right of E, \[ E \] must be at position 2. \[ _ \quad E \quad _ \quad _ \quad B \]

Step 2: Use the condition that E is not at the center. Position 2 satisfies this condition.

Step 3: Place D. D cannot be adjacent to E. Hence D cannot be at position 1 or 3. Therefore D must be at position 4. \[ _ \quad E \quad _ \quad D \quad B \]

Step 4: Place A and C. Since D cannot be adjacent to A, A cannot be at position 3. Thus \[ A \text{ at position 1} \] \[ C \text{ at position 3} \] Final arrangement: \[ A,\;C,\;E,\;D,\;B \] Hence the correct answer is \[ \boxed{A,\;C,\;E,\;D,\;B} \]