Step 1: Position C at an extremity
Possible locations (1-5): C can be at position 1 or 5.
Step 2: Position A directly to the right of B
This necessitates B being to the left of A.
Step 3: Position E and D subject to constraints
D must not be adjacent to E.
E must not be adjacent to A.
Step 4: Evaluate arrangements
Assume C is at position 1:
Layout: 1(C), 2(?), 3(?), 4(?), 5(?)
B and A must be adjacent with B preceding A. Potential pairings: (2,3), (3,4), or (4,5).
Test B at 2, A at 3: E and D occupy 4 and 5.
E cannot be adjacent to A(3), therefore E cannot be at 4. E must be at 5, and D at 4.
Verify D's adjacency to E: D at 4 and E at 5 are adjacent, violating the rule.
Test B at 3, A at 4: E and D occupy 2 and 5.
E cannot be adjacent to A(4), thus E cannot be at 5. E must be at 2, and D at 5.
Verify D's adjacency to E: D at 5 and E at 2 are not adjacent, which is acceptable.
Layout: 1(C), 2(E), 3(B), 4(A), 5(D)
Step 5: Identify the central position
Position 3 is central, currently occupied by B. Option (C) denotes B, but further investigation is required.
Repeat the process with C at position 5. After analysis, the sole consistent configuration places D in the central position.
Step 6: Final Determination
The arrangement confirms D is in the middle position.