In a binary tree, if a node has two children, how many leaf nodes can it have at

Practice Questions

Q1
In a binary tree, if a node has two children, how many leaf nodes can it have at maximum?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

In a binary tree, if a node has two children, how many leaf nodes can it have at maximum?
  • 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 what a leaf node is. A leaf node is a node that does not have any children.
  • Step 3: Consider a node that has two children. Let's call this node 'A'.
  • Step 4: Each of 'A's children can also have their own children or be leaf nodes.
  • Step 5: If both children of 'A' are leaf nodes, then 'A' has 2 leaf nodes.
  • Step 6: If one child of 'A' has its own child (which is a leaf), then 'A' can have 3 leaf nodes in total.
  • Step 7: Therefore, the maximum number of leaf nodes that can be in the subtree of a node with two children is 3.
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