Arrangement Logic for Six Students

We need to determine the seating arrangement of six students (A, B, C, D, E, F) around a circular table based on the given clues.

• Clue 1: D sits second to the right of E.
• Clue 2: F sits second to the right of D.
• Clue 3: F is an immediate neighbour of A.
• Clue 4: A is not an immediate neighbour of E.
• Clue 5: B is an immediate neighbour of E.
• Clue 6: B sits second to the right of C.

Step-by-Step Seating Determination

Let's place the students step-by-step, assuming clockwise direction for "right":

1. From Clue 1 (D second to right of E) and Clue 2 (F second to right of D), we can establish a partial sequence: E, _, D, _, F, _.
2. From Clue 3 (F is neighbor of A), A must be in the position immediately to the left or right of F.
3. From Clue 4 (A is not neighbor of E), A cannot be in the position immediately to the left of E. Combining this with the sequence from Step 1, A must be between D and F. The sequence becomes: E, _, D, A, F, _.
4. The remaining students are B and C, and the remaining seats are between E and D, and between F and E.
5. From Clue 5 (B is neighbor of E), B must be in one of the seats adjacent to E.
6. From Clue 6 (B sits second to the right of C). Let's test the two possibilities for B:
   • If B is placed between E and D, the arrangement is E, B, D, A, F, _. C must be in the last seat. The arrangement is E, B, D, A, F, C. Let's check Clue 6: Is B (pos 2) second to the right of C (pos 6)? Yes. This arrangement fits all clues.
   • If B is placed between F and E, the arrangement is E, _, D, A, F, B. C must be between E and D. The arrangement is E, C, D, A, F, B. Let's check Clue 6: Is B (pos 6) second to the right of C (pos 2)? Yes. However, this contradicts Clue 5 (B is neighbor of E). In E, C, D, A, F, B, B is not a neighbor of E. So this possibility is invalid.
7. The confirmed clockwise arrangement is: E, B, D, A, F, C.

Finding Students Between E and A

The question asks: "Who sit between E and A from the right of A?"

• Find A in the arrangement: E, B, D, A, F, C.
• Consider the direction "from the right of A" (clockwise).
• The sequence moving clockwise from A is: A, F, C, E, B, D.
• We need to identify the students sitting between E and A in this clockwise direction.
• Following the sequence A, F, C, E..., the students between A and E are F and C.

Therefore, F and C sit between E and A from the right of A.