https://file.aiquickdraw.com/mathbot/file/1725754705301a4l7xmum.jpg

The Venn diagram in the image shows the cardinalities (sizes) of the intersections between three sets \( A \), \( B \), and \( C \). The numbers in the different regions represent the number of elements in the corresponding intersections:

- \(14\) is in set \(A\) only.
- \(7\) is in set \(B\) only.
- \(15\) is in set \(C\) only.
- \(9\) is in the intersection of sets \(A\) and \(B\) only.
- \(6\) is in the intersection of sets \(B\) and \(C\) only.
- \(4\) is in the intersection of sets \(A\) and \(C\) only.
- \(1\) is in the intersection of all three sets \(A\), \(B\), and \(C\).

The question asks for \( n(A \cap B \cap C) \), which represents the number of elements that are in all three sets.

From the diagram, we can see that:

\[
n(A \cap B \cap C) = 1
\]

Would you like to know more details about this calculation, or do you have any further questions?

### Related Questions:
1. How do you find the union of three sets using a Venn diagram?
2. What is the formula for calculating the number of elements in the union of three sets?
3. How do you calculate the number of elements in the intersection of two sets?
4. Can a Venn diagram represent more than three sets?
5. What is the importance of Venn diagrams in probability and set theory?

### Tip:
To solve set-related problems efficiently, remember that a Venn diagram helps visualize the relationships between different sets, making it easier to understand intersections, unions, and complements.

The Venn diagram shows the cardinality of each set. What is the value of n(A ∩ B ∩ C)?

This problem involves using a Venn diagram to find the number of elements common to three sets A, B, and C. The solution identifies the intersection of the three sets and highlights the basic principles of set theory.

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