Using a HashSet is better to know the numbers that you are use. But in your case, I think it's better use a List and remove elements:
var list = new List<int>();
for (int i = 1; i <= 10; i++)
list.Add(i);
// List is 0-index
// list = 1 2 3 4 5 6 7 8 9 10
int rng = random.Next(0, list.Count - 1);
// Suppose rgn=3: You get 3 value and remove it from the list
var value = list[rgn];
list.RemoveAt(rgn);
// list = 1 2 4 5 6 7 8 9 10
// Now you get a value between 0...8 (list.Count is 9)
rng = random.Next(0, list.Count - 1);
// Suppose rgn=3: You get 4 value and remove it from the list
var value = list[rgn];
list.RemoveAt(rgn);
// list = 1 2 5 6 7 8 9 10
// Now you get a value between 0...7 (list.Count is 8)
rng = random.Next(0, list.Count - 1);
// Suppose rgn=5: You get 7 value and remove it from the list
var value = list[rgn];
list.RemoveAt(rgn);
// list = 1 2 5 6 8 9 10
...
When list has one element you don't need use random.
When your list is empty, fill again and repeat the whole process.
In this form you always get an element with each random call. Using HashSet you may try a lot of random calls to get a nonused number.
A class for that maybe:
public class RandomClass
{
private readonly List<int> _list;
private readonly Random _random;
public RandomClass()
{
this._list = new List<int>();
this._random = new Random();
}
private void PopulateList()
{
for (int i = 1; i <= 10; i++)
this._list.Add(i);
}
public int GetNumber()
{
if (this._list.Count == 0)
{
this.PopulateList();
}
if (this._list.Count > 1)
{
int rng = this._random.Next(0, this._list.Count);
var value = this._list[rgn];
this._list.RemoveAt(rgn);
return value;
}
else
{
var value = this._list[0];
this._list.RemoveAt(0);
return value;
}
}
}
UPDATE: Some about List, Arrays and other collections
Array and List are very similar. The main difference is that an array is a continuous block of memory while List (in memory) it's not a block. Array is faster to iterate (address of first element + multiply for sizeof each element) but slower when you want to add/remove elements (you must create other array and copy the elements). From the point of view of an user, both of them are used to store a list of items and iterate them.
Other collections very interesting are HashSet and Dictionary. These collections are sets, you can't access their elements using an index. You saw an example for HashSet in this page: Add a number to the set and query it if you want know if that number appear before. The key with this sets are that you access to their elements using a hash. Instead of an index, you use whatever you want as a key and an algorithm get quickly the position of the element in the set. Dictionary is like a HashSet but you can store addicional data asociated to the key.
In many cases, you'll use both of them: a list to iterate sequencially and a dictionary to direct access to elements. For example, you have a lot of Persons that you show in some order (name, surname...). You store them in a List an allow user to change the order (using Sort of the list). You use a list because you show and use that order many times: you need ordered Persons.
But you have many, many Persons. Suppose that your program allow search Persons by Id and Name. Each time a user search for Persons you must iterate a very long list. It's not efficient. So you define two Dictionary:
Dictionary<int, List<Person>> personsById;
Dictionary<string, List<Person>> personsByName;
Also, you have a List:
List<Person> allPersons;
And we need some operations:
public void AddPerson(Person person)
{
Person existingPerson;
if (personsById.TryGetValue(person.Id, out existingPerson))
{
// Already exists: don't add duplicated persons
return;
}
personsById.Add(person.Id, person);
// Maybe more than one person with the same name. It's the reason why use a List here
List<Person> list;
if (personsByName.TryGetValue(person.Name, out list))
{
// There are other persons with this name, so the list exists. Simply add person to list
list.Add(person);
}
else
{
// Is the first person with this name: create the list and associate to the name
personsByName.Add(person.Name, new List<Person> { person });
}
// Always add to main list
allPersons.Add(person);
}
public void RemovePerson(Person person)
{
if (!personsById.TryGetValue(person.Id, out _))
{
// Not exists: do nothing
return;
}
personsById.Remove(person.Id);
// NOTE: Here we are removing person assuming that you never have different instances
// of person. If you can create different instances for a person, here we must iterate
// the lists to find the person
List<Person> list;
if (personsByName.TryGetValue(person.Name, out list))
{
list.Remove(person);
}
allPersons.Remove(person);
}
public Person GetPerson(int id)
{
return this.personsById.TryGetValue(id, out Person person) ? person : null;
}
public List<Person> GetPersons(string name)
{
return this.personsByName.TryGetValue(name, out List<Person> list) ? list : null;
}
It's a very basic example but I think maybe a good one to learn about this classes.