https://file.aiquickdraw.com/mathbot/file/1729044114427u5dt5h03.jpg

The question asks: "In the tree below, at what level is the vertex 'Sandy'?"

From the tree structure in the image, let's determine the levels:

1. **Level 0**: Root node (C:)
2. **Level 1**: Apps, Program Files, Users
3. **Level 2**: Nodes like Browser, Video Editor, Admin, Sandy
4. **Level 3**: Children of these nodes, such as Files under each directory

The vertex 'Sandy' is at **Level 2**.

Would you like more details or have any questions about this?

Here are five related questions to expand on this topic:
1. What is the definition of a tree in graph theory?
2. How are levels in a tree data structure defined?
3. What is the significance of the root node in a tree structure?
4. What is the difference between a level and a height of a tree?
5. How can tree structures be used to represent file systems?

**Tip:** In a tree data structure, the level of a node is the number of edges on the path from the root node to that node.

In the tree below, at what level is the vertex 'Sandy'?

Learn how to determine the level of a vertex in a tree data structure. This example involves the vertex 'Sandy' within a file system hierarchy. Suitable for students in Grades 9-12 studying graph theory and tree structures.

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