How many leaf nodes does a full binary tree with 'n' internal nodes have?

How many leaf nodes does a full binary tree with 'n' internal nodes have?

Step 1: Understand what a full binary tree is. A full binary tree is a type of binary tree where every internal node has exactly two children.
Step 2: Identify what internal nodes are. Internal nodes are the nodes that have at least one child, meaning they are not leaf nodes.
Step 3: Recognize that in a full binary tree, each internal node contributes to the creation of leaf nodes. Specifically, each internal node has two children.
Step 4: Realize that for every internal node, there is one additional leaf node created. This is because the last internal node will lead to the creation of two leaf nodes, but one of those will be the last node.
Step 5: Use the formula: If there are 'n' internal nodes, then the number of leaf nodes is 'n + 1'. This is because the last internal node adds one more leaf node.
Step 6: Conclude that a full binary tree with 'n' internal nodes has 'n + 1' leaf nodes.

Full Binary Tree – A full binary tree is a type of binary tree in which every node other than the leaves has two children.
Internal Nodes – Internal nodes are nodes that have at least one child, as opposed to leaf nodes which do not.
Leaf Nodes – Leaf nodes are the terminal nodes of a tree that do not have any children.
Relationship Between Internal and Leaf Nodes – In a full binary tree, the number of leaf nodes is always one more than the number of internal nodes.