In a 5ary tree what is the maximum height of a tree with N n

In a 5-ary tree, what is the maximum height of a tree with N nodes. Since that was easy, let\'s try one a little harder: what is the minimum height of a tree with N nodes?

Solution

The maximum height of a tree with N nodes : N-1

The minimum height of a tree with N nodes :

[log₅(4)+log₅(N)-1]

Here, K=5.