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The image contains a Russian-language question about selecting correct statements, and it appears to deal with the concept of set partitioning (разбиение множеств) in mathematics.

Here’s the translation of each statement from the image:

1. **The set of isosceles triangles, the set of scalene triangles, and the set of equilateral triangles form a partition of the set of all triangles.**

2. **A partition of a set into subsets is not unique.**

3. **The set of acute-angled triangles, the set of right-angled triangles, and the set of obtuse-angled triangles form a partition of the set of all triangles.**

4. **The union of the set of numbers greater than 333 and the set of numbers less than 333 forms a partition of the set of natural numbers \( \mathbb{N} \).**

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### Analysis:

1. **True**: The first statement is true, as every triangle is either isosceles, scalene, or equilateral, and these three categories do not overlap, covering all possibilities.
   
2. **True**: This is a general fact in set theory. There can be different ways to partition a set, so the second statement is correct.
   
3. **True**: The third statement is also true since any triangle is either acute-angled, right-angled, or obtuse-angled, forming another valid partition of the set of triangles.
   
4. **False**: The fourth statement is false because the numbers equal to 333 are missing from the partition, meaning it's not a complete partition of \( \mathbb{N} \).

Thus, the correct statements are **1, 2, and 3**.

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Would you like more details or have any questions about this? 

### Related Questions:
1. How are partitions of sets formally defined in set theory?
2. Can a partition be defined differently for geometric shapes?
3. What are some examples of non-trivial set partitions in real-world problems?
4. How do the properties of triangles contribute to creating these partitions?
5. How do partitions relate to classifications in higher-dimensional geometry?

**Tip:** A set partition divides the set into non-overlapping, non-empty subsets that together form the entire original set.

Укажите все верные утверждения о разбиении множеств треугольников и чисел.

Explore how set partitioning applies to geometric shapes like triangles (isosceles, scalene, equilateral, etc.) and natural numbers. Learn about the correct classification and partitioning of sets in this detailed guide.

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