If a binary tree has 15 nodes, what is the maximum height of the tree?

If a binary tree has 15 nodes, what is the maximum height of the tree?

Step 1: Understand what a binary tree is. A binary tree is a tree data structure where each node has at most two children.
Step 2: Know that the height of a tree is the number of edges on the longest path from the root node to a leaf node.
Step 3: Realize that the maximum height of a binary tree occurs when the tree is skewed, meaning all nodes are arranged in a straight line.
Step 4: If a binary tree has 15 nodes and is skewed, it will have 15 edges from the root to the last node.
Step 5: Therefore, the maximum height of a binary tree with 15 nodes is 15.

Binary Tree Height – The height of a binary tree is the number of edges on the longest path from the root to a leaf. In a skewed binary tree, the height can equal the number of nodes.
Skewed Trees – A skewed binary tree is one where each parent node has only one child, leading to a maximum height equal to the number of nodes.