Final answer:
The linked list version of the Bag class uses the manyNodes variable to keep track of the length of the linked list instead of calling the listLength() method.
Step-by-step explanation:
The linked list version of the Bag class uses an instance variable called manyNodes to keep track of the length of the linked list. Instead of making a call to the listLength() method, it is more efficient to use O(1) constant time using manyNodes. This is because the listLength() method has a time complexity of O(n), which means it grows linearly with the number of elements in the list.