I remember it this way:
IEnumerable has one method GetEnumerator() which allows one to read through the values in a collection but not write to it. Most of the complexity of using the enumerator is taken care of for us by the for each statement in C#. IEnumerable has one property: Current, which returns the current element.
ICollection implements IEnumerable and adds few additional properties the most use of which is Count. The generic version of ICollection implements the Add() and Remove() methods.
IList implements both IEnumerable and ICollection, and add the integer indexing access to items (which is not usually required, as ordering is done in database).