Question:
A full binary tree has n leaf nodes. How many total number of nodes will that tree have?
A full binary tree has n leaf nodes. How many total number of nodes will that tree have?
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In a full binary tree, the total number of nodes is always \( 2n - 1 \), where \( n \) is the number of leaf nodes.
Updated On: May 3, 2025
- \( 2n - 1 \)
- \( 2^n - 1 \)
- \( 2n \)
- \( 2^n \)
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The Correct Option is A
Solution and Explanation
For a full binary tree with \( n \) leaf nodes, the total number of nodes is given by \( 2n - 1 \). This is a standard formula for full binary trees, as the number of internal nodes is \( n - 1 \) and the total number of nodes is the sum of internal and leaf nodes.
Thus, the total number of nodes is \( 2n - 1 \).
Thus, the total number of nodes is \( 2n - 1 \).
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