What is the minimum number of children a node can have in a binary tree?Group of answer choices0231
Question
What is the minimum number of children a node can have in a binary tree?
Group of answer choices:
0
2
3
1
Solution
1. Break Down the Problem
A binary tree is a data structure where each node can have at most two children. To answer the question, we need to determine the minimum number of children a single node in a binary tree can have.
2. Relevant Concepts
In the context of a binary tree:
- Each node can have 0, 1, or 2 children.
- A node with no children is referred to as a leaf node.
3. Analysis and Detail
- If a node has no children, it is considered a leaf node; hence it can have 0 children.
- If a node has one child, it can only have either a left or right child, which means it has 1 child.
- If a node has two children, it can have both the left and right children, totaling 2 children.
4. Verify and Summarize
From the definitions and properties of a binary tree, the minimum number of children a node can have is 0, which occurs when the node is a leaf.
Final Answer
The minimum number of children a node can have in a binary tree is 0.
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