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In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?

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Question: In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?

Options:

  1. [1, 2, 3]
  2. [2, 1, 3]
  3. [1, 3, 2]
  4. [3, 2, 1]

Correct Answer: [2, 1, 3]

Solution: 

In-order traversal visits the left subtree, then the root, and then the right subtree. For a tree with nodes 1, 2, 3, the in-order traversal is [2, 1, 3].

In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?

Practice Questions

Q1
In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?
  1. [1, 2, 3]
  2. [2, 1, 3]
  3. [1, 3, 2]
  4. [3, 2, 1]

Questions & Step-by-Step Solutions

In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?
  • Step 1: Understand what a binary tree is. A binary tree is a structure where each node has at most two children, referred to as the left child and the right child.
  • Step 2: Identify the nodes in the tree. We have three nodes: 1, 2, and 3.
  • Step 3: Decide how to arrange these nodes in a binary tree. A simple arrangement could be: 1 as the root, 2 as the left child of 1, and 3 as the right child of 1.
  • Step 4: Visualize the tree structure: 1 is the root, 2 is on the left, and 3 is on the right.
  • Step 5: Understand the in-order traversal method. In-order traversal means we visit the left subtree first, then the root node, and finally the right subtree.
  • Step 6: Apply in-order traversal to our tree. First, we visit the left child (2), then the root (1), and finally the right child (3).
  • Step 7: Write down the order of nodes visited during in-order traversal. The order is [2, 1, 3].
  • In-order Traversal – A method of traversing a binary tree where the left subtree is visited first, followed by the root node, and then the right subtree.
  • Binary Tree Structure – Understanding how nodes are organized in a binary tree and how this affects traversal order.
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