A complete n-ary tree is a tree in which each node has n children or no children. Let I be the number of internal nodes and L be the number of leaves in a complete n-ary tree. If L = 41, and I = 10, what is the value of n?
Explanation: For an n-ary tree where each node has n children or no children, following relation holds
L = (n-1)*I + 1
Where L is the number of leaf nodes and I is the number of internal nodes.
Let us find out the value of n for the given data.
L = 41 , I = 10 41 = 10*(n-1) + 1 (n-1) = 4 n = 5