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
Problem 1PE
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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**

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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