In a BST, what is the minimum number of nodes required to form a tree with a height of 3?3478

The minimum number of nodes required to form a Binary Search Tree (BST) with a height of 3 is 4. Here's the step by step explanation:

1. The height of a tree is the maximum distance from the root node to any leaf node. In a BST, the height is often considered as the number of edges in the longest path from the root to a leaf.

2. For a BST with a height of 0, you need 1 node (just the root node).

3. For a BST with a height of 1, you need at least 2 nodes (the root node and one child).

4. For a BST with a height of 2, you need at least 3 nodes (the root node and a node at each of the two levels below it).

5. Therefore, for a BST with a height of 3, you need at least 4 nodes (the root node and a node at each of the three levels below it).

So, the minimum number of nodes required to form a BST with a height of 3 is 4.