I understand, set is unordered, In contrast List
This is not necessarily true. SortedSet is a subinterface of Set. As the name implies, instances of this interface are ordered in some fashion. For example, TreeSets are ordered using their natural ordering, or by a Comparator provided at set creation time, depending on which constructor is used. Also, the main distinction between Set and List is that List allows for duplicate objects to be contained, whereas Set does not.
Now, if you are talking specifically about HashSet, then you are correct about being unordered.
I think your confusion is because you are asking yourself "why is the print out showing the numbers in numeric (insertion) order?" This is sort of a complicated answer for someone of your familiarization level, but the order in which they are printed out is because you are inserting integers and their hash code are basically their numeric values. And, although there is no guarantee as to the order in which the elements of the hash set are returned when iterating, the implementation of HashSet is backed by a hash table. In fact, if you change the insertion order of those same values, most likely the numbers will be printed out in the same numeric order. Now, remember that with all that, the order is not guaranteed. This may not be true, for instance, if you change the set elements to be String objects.
Iteratordoes not imply/assume ordering. The point is just to go through all elements. In a list (or other ordered collections, which may include other sets), the order of iteration is predictable. But with a HashSet, it is not. But that has nothing to do with whether it can use an iterator or not.Setinterface implements theIterableinterface in java, so an iterator is available. A hash set usesHashMaps for internal storage, there is an iterator available on the keys.