https://file.aiquickdraw.com/mathbot/file/1726435918476rfklacuc.jpg

It seems that you've uploaded an image, and you are referring to a diagram that I can't directly see or interpret without further context. To solve the given expression \( n(A \cap \overline{C}) \), I will need information about the sets \( A \), \( C \), and potentially the universal set or any given numerical values from the diagram you're referencing.

Could you either describe the Venn diagram or the relevant values for the sets, or upload another image of the diagram so I can provide a detailed solution?

Let me know how you'd like to proceed!

Here are some questions you might consider based on this problem:
1. What are the elements or cardinalities of sets \( A \) and \( C \)?
2. How do the sets \( A \), \( C \), and the universal set interact in the Venn diagram?
3. Does the diagram show values for each section of the Venn diagram (e.g., \( A \cap C \), \( A \cup C \), \( \overline{C} \))?
4. Are there any other sets involved, or just \( A \) and \( C \)?
5. What is the size of the universal set, if known?

**Tip:** To solve Venn diagram problems, carefully break down each region step by step to ensure you correctly account for all intersections and complements.

Determine the value of n(A ∩ C̅) using the provided Venn diagram.

This solution explains how to find n(A ∩ C̅) using a Venn diagram. The problem focuses on the concepts of intersection, complement, and basic set theory operations. Suitable for high school students in grades 9-12.

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