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If the number of levels is L, the maximum number of nodes N in a binary tree is N = 2L-1.

For L = 5, N equates to 31 thus.

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11y ago
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For any given level n there will be a maximum of 2n nodes.

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Q: What is the number of nodes in a complete binary tree of level 5?
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The height of a complete binary tree is in terms of log(n) where n is the number of nodes in the tree. The height of a complete binary tree is the maximum number of edges from the root to a leaf, and in a complete binary tree, the number of leaf nodes is equal to the number of internal nodes plus 1. Since the number of leaf nodes in a complete binary tree is equal to 2^h where h is the height of the tree, we can use log2 to find the height of a complete binary tree in terms of the number of nodes.


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