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The image contains a mathematical problem in Indonesian. Here is the translation and breakdown of the problem:

**Problem (Task):**

1. There are 115 students enrolled in Discrete Mathematics, 71 students in Calculus of Several Variables, and 56 students in Geometry. Among them:
   - 25 students are taking both Discrete Mathematics and Calculus.
   - 14 students are taking both Discrete Mathematics and Geometry.
   - 9 students are taking both Calculus and Geometry.
   
   If the total number of students enrolled in at least one of these subjects is 196, how many students are taking all three subjects (Discrete Mathematics, Calculus, and Geometry)?

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This is a classic Venn diagram problem involving three sets. Let me calculate how many students are taking all three subjects by applying the principle of inclusion and exclusion.

We have:
- \( |A| = 115 \) (Discrete Mathematics),
- \( |B| = 71 \) (Calculus),
- \( |C| = 56 \) (Geometry),
- \( |A \cap B| = 25 \) (Discrete Mathematics and Calculus),
- \( |A \cap C| = 14 \) (Discrete Mathematics and Geometry),
- \( |B \cap C| = 9 \) (Calculus and Geometry),
- Total students, \( |A \cup B \cup C| = 196 \).

We need to find \( |A \cap B \cap C| \), the number of students taking all three subjects.

Let me calculate this now.The calculation results in \(-2\), which is not a feasible outcome since the number of students cannot be negative. This suggests an inconsistency in the provided data, likely due to an overestimation of the total number of students or overlap between the groups.

To adjust for this, we would typically revise the totals or verify the data to ensure accurate inclusion-exclusion calculation. 

Would you like to explore alternative explanations, clarify the problem, or receive help adjusting the figures?

Here are 5 related questions:
1. How can we adjust the total number of students for consistency?
2. Can we use a different approach to solve this problem?
3. What is the importance of the inclusion-exclusion principle in set theory?
4. Could the overlap between two sets affect the total more than expected?
5. What real-life examples can be solved using Venn diagrams?

**Tip:** Always verify that the sum of all groups doesn't exceed the total students to avoid inconsistencies.

There are 115 students enrolled in Discrete Mathematics, 71 in Calculus of Several Variables, and 56 in Geometry. Among them: 25 students are taking both Discrete Mathematics and Calculus, 14 are taking both Discrete Mathematics and Geometry, and 9 are taking both Calculus and Geometry. If the total number of students enrolled in at least one of these subjects is 196, how many students are taking all three subjects?

Solve a Venn diagram problem involving students enrolled in Discrete Mathematics, Calculus, and Geometry. Learn how to apply the Inclusion-Exclusion Principle to find the number of students taking all three subjects. Suitable for high school students (Grades 10-12).

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