> For the complete documentation index, see [llms.txt](https://zmnako.gitbook.io/datascience/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://zmnako.gitbook.io/datascience/frozen-sets.md).

# Frozen Set

Python provides another built-in type called a **frozenset.** Frozensets are exactly the same as set in all aspects except that they are **immutable**. You can perform all operations similar to sets except change or modifying operations such as `add()` and `update()`.

You can create a frozenset with `frozenset(<iter>)` method.

{% tabs %}
{% tab title="Code" %}

```python
frozen_set = frozenset((2, 3, 4, 5))
print(frozen_set)
```

{% endtab %}

{% tab title="Second Tab" %}

```python
# print(frozen_set)
frozenset({2, 3, 4, 5})


# print(type(frozen_set))
<class 'frozenset'>
```

{% endtab %}
{% endtabs %}

Frozensets are useful in situations where you want to use a set, but you need an **immutable** object. For example, you can’t define a set whose elements are also sets, because set elements must be immutable:

```python
set1 = set(['Krakow'])
set2 = set(['Warsaw'])
set3 = set(['Kielce'])
new_set = {set1, set2, set3}

# output
TypeError                                 Traceback (most recent call last)
<ipython-input-24-8310bd641e86> in <module>()
      2 set2 = set(['bar'])
      3 set3 = set(['baz'])
----> 4 new_set = {set1, set2, set3}

TypeError: unhashable type: 'set'
```

Sometimes, it happens that you need to define a set of sets, you can create set of sets  if the elements are frozensets because frozensets are **immutable**.

```python
set1 = frozenset(['Krakow'])
set2 = frozenset(['Warsaw'])
set3 = frozenset(['Kielce'])
new_set = {set1, set2, set3}


print(new_set)

# output
{frozenset({'Kielce'}), frozenset({'Warsaw'}), frozenset({'Krakow'})}
```