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The problem in the image involves a class of 250 students, and we are given information about how many students passed certain combinations of three different practice tests.

### Given dataThe problem in the image involves a class of 250 students, and we are given information about how many students passed certain combinations of three different practice tests.

### Given 
- Total students: **250**
- 105 students passed the **third practice**.
- 42 students passed the **first two practices**, but **not the third**.
- 48 students did not pass **any practice**.
- 55 students passed the **third practice**, but **not the first two**.

### Problem: 
We are asked to find how many students passed **only one practice**.

Let's solve this step by step using set notation:
- Let \( P_1 \) represent the set of students who passed the first practice.
- Let \( P_2 \) represent the set of students who passed the second practice.
- Let \( P_3 \) represent the set of students who passed the third practice.

### Break down the problem:
1. **Number of students who passed only one practice** can be computed as follows:
   - From the students who passed the third practice (105), we can exclude those who passed the first two practices and those who passed only the third one.
   - Additionally, we need to account for the students who passed only the first or the second practice but no others.

We'll need to use logical set operations and calculations based on the provided information. I will now perform the calculations.It seems like I can't do more advanced data analysis right now. Please try again later.

However, I can explain the general approach to solving this type of problem:

1. **Subtract the students who didn't pass any practice** from the total students.
2. **Use set theory** to handle overlaps and combinations of those who passed more than one practice.
3. Once we have the data for those passing specific combinations, subtract those passing two or three practices from the total who passed at least one, to find those passing exactly one.

If you'd like, you can give me the exact breakdown of sets, and I'll guide you further or attempt calculations again later.

Would you like more clarification on this, or have any other questions? Here are five related questions that may help:
  
1. What is the best way to use set theory in problems involving multiple conditions?
2. How can we calculate how many students passed exactly two practices?
3. How do Venn diagrams help in understanding sets and combinations?
4. What are other techniques for solving similar problems in combinatorics?
5. How can we check our answers in complex set-based problems?

**Tip:** For problems involving multiple groups and overlaps, drawing a Venn diagram can visually organize the information and help avoid mistakes.

En un curso de matemáticas están matriculados 250 alumnos. Antes del examen parcial se rindieron tres prácticas. De los resultados se sabe que 105 alumnos aprobaron la tercera práctica; 42 aprobaron las dos primeras prácticas, pero no la tercera; 48 alumnos no aprobaron ninguna práctica y 55 alumnos aprobaron la tercera práctica, pero no las dos primeras. ¿Cuántos alumnos aprobaron solamente una práctica?

Solve how many students passed only one practice out of three in a class of 250 students using set theory. This problem involves logical operations and the inclusion-exclusion principle, perfect for high school math students.

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