Step 1: Understanding Lexicographical Order
Lexicographical (dictionary) order means arranging words based on the alphabetical order of their letters.
"Highest to lowest" means we first arrange them in ascending order (A to Z) and then reverse the list to get the descending order (Z to (a).
Step 2: Arrange in ascending order (A to Z)
- Apple (A...) comes first.
- Banana (B...) comes next.
- Cherry (C...) comes next.
- Elephant (E...) comes last in alphabetical order.
So, ascending order is: Apple, Banana, Cherry, Elephant.
Step 3: Reverse for descending order (Z to (a)
Reversing the above gives: Elephant, Cherry, Banana, Apple.
Step 4: Match with the given options
Option (a) matches exactly.
Final Answer:
\[
{\text{Elephant, Cherry, Banana, Apple}}
\]