In a binary tree, if a node has two children, how many nodes are there in the su

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Question: In a binary tree, if a node has two children, how many nodes are there in the subtree rooted at that node?

Options:

Correct Answer: 3

Solution:

If a node has two children, there are 3 nodes in the subtree rooted at that node (the node itself and its two children).

In a binary tree, if a node has two children, how many nodes are there in the subtree rooted at that node?

In a binary tree, if a node has two children, how many nodes are there in the subtree rooted at that node?

Step 1: Understand what a binary tree is. A binary tree is a structure where each node can have at most two children.
Step 2: Identify the node in question. Let's call this node 'A'.
Step 3: Recognize that if node 'A' has two children, it means there are two nodes directly connected to 'A'.
Step 4: Count the nodes. The subtree rooted at node 'A' includes node 'A' itself and its two children.
Step 5: Add the counts together. 1 (for node 'A') + 1 (for the first child) + 1 (for the second child) equals 3.
Step 6: Conclude that there are 3 nodes in the subtree rooted at node 'A'.

Binary Tree Structure – Understanding the basic structure of a binary tree, where each node can have up to two children.
Subtree Definition – Recognizing that a subtree includes the node itself and all its descendants.