1. What is the height of the shortest binary tree that contains 21 nodes? Is this tree full? Is it balanced?

2. Write a recursive algorithm that counts the number of Nodes in a binary tree

3. Draw the shortest possible binary search tree from the following strings: Pat, Ella, Chad, Rico, Ben, Jada, Jazmin, Zak, Luis, Scott, Deepak, Ann, Tracy, Kip.