https://file.aiquickdraw.com/mathbot/file/1728956901926zopih03e.jpg

Let's analyze the Venn diagram and solve the questions step-by-step.

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### Part (a): Select all the genres that Bob likes.
- From the Venn diagram, **Bob** is located at the intersection of all three circles (horror, drama, and tragedy). This means:
  - Bob likes **horror**.
  - Bob likes **drama**.
  - Bob likes **tragedy**.

Thus, for part (a), the correct choices are:  
☑️ **Horror**  
☑️ **Drama**  
☑️ **Tragedy**

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### Part (b): How many students like horror or drama (or both)?
- We need to find all students inside the **horror** and **drama** circles (including overlaps):
  - **Horror**: Miguel, Carmen, Milan, Bob, Rachel, Susan.
  - **Drama**: Carmen, Milan, Omar, Austin, Bob, Rachel, Hans.

- Now, let’s list the unique students across both sets:
  - **Miguel, Carmen, Milan, Omar, Austin, Bob, Rachel, Hans, Susan**.
  
There are **9 students** who like horror or drama (or both).

Thus, the answer to part (b) is:
**9**

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### Part (c): Which students only like one of the three genres?
- We are looking for students who are only in one individual circle (and not in any intersection). Let’s go through each genre:
  - **Only horror**: Miguel.
  - **Only drama**: Omar, Austin.
  - **Only tragedy**: Melissa.

Thus, the correct answers are:
- **Miguel**
- **Omar**
- **Austin**
- **Melissa**

For part (c), the correct choices are:
☑️ Austin  
☑️ Miguel  
☑️ Omar  
☑️ Melissa  

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Let me know if anything needs further explanation or clarification!

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### Related questions:
1. What is the total number of students surveyed?
2. How many students like all three genres?
3. How many students like exactly two genres?
4. Which genre is the most popular?
5. How many students like at least one genre?

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**Tip:** Venn diagrams are a great way to visualize overlaps and shared attributes between multiple sets!

In a writing course, the professor surveyed the students to see the literature genres they like. The Venn diagram shows this information for three of the genres.

Learn how to analyze a Venn diagram of students' preferences for horror, drama, and tragedy. This problem covers key set theory concepts, including union, intersection, and the inclusion-exclusion principle. Suitable for students in Grades 7-9.

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