What is the height of the tree? 16 4 21 12 30 28

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**Question:** What is the height of the tree?

**Tree Diagram:** 

- The diagram depicts a binary tree with the following structure:
  - The root node is `16`.
  - The left child of the root is `4`, which has a left child `12`.
  - The right child of the root is `21`, which has a right child `30`. The node `30` has a left child `28`.

**Height Calculation:**

- The height of a tree is the number of edges on the longest path from the root to a leaf.
- Here, the longest path from the root `16` is: 
  - `16` to `21` to `30` to `28`, which has three edges.

**Answer Choices:**

- 2
- 3 (selected)
- 4
- 1

**Correct Answer: 3**
Transcribed Image Text:**Question:** What is the height of the tree? **Tree Diagram:** - The diagram depicts a binary tree with the following structure: - The root node is `16`. - The left child of the root is `4`, which has a left child `12`. - The right child of the root is `21`, which has a right child `30`. The node `30` has a left child `28`. **Height Calculation:** - The height of a tree is the number of edges on the longest path from the root to a leaf. - Here, the longest path from the root `16` is: - `16` to `21` to `30` to `28`, which has three edges. **Answer Choices:** - 2 - 3 (selected) - 4 - 1 **Correct Answer: 3**
**Question:** What is the pre-order traversal of the binary tree T?

**Diagram Explanation:**  
The binary tree diagram has nodes arranged as follows:

- The root node is 16.
- The left child of 16 is 4.
- The left child of 4 is 12.
- The right child of 16 is 21.
- The right child of 21 is 30.
- The left child of 30 is 28.

**Answer Choices:**

- ○ 16, 4, 12, 21, 30, 28
- ○ 4, 12, 16, 21, 28, 30
- ● 16, 4, 21, 12, 30, 28
- ○ 12, 4, 28, 30, 21, 16

**Correct Answer:**  
The selected correct answer is: **16, 4, 21,12,30,28**
Transcribed Image Text:**Question:** What is the pre-order traversal of the binary tree T? **Diagram Explanation:** The binary tree diagram has nodes arranged as follows: - The root node is 16. - The left child of 16 is 4. - The left child of 4 is 12. - The right child of 16 is 21. - The right child of 21 is 30. - The left child of 30 is 28. **Answer Choices:** - ○ 16, 4, 12, 21, 30, 28 - ○ 4, 12, 16, 21, 28, 30 - ● 16, 4, 21, 12, 30, 28 - ○ 12, 4, 28, 30, 21, 16 **Correct Answer:** The selected correct answer is: **16, 4, 21,12,30,28**
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