Problem $6$

How many vertices does a full $4-$ary tree with $100$ internal vertices have?

Problem $7$

How many vertices and how many leaves does a full $\backslash ($ m $\backslash )-$ary tree of height $\backslash ($ h $\backslash )$ have?

Problem $8$

Build a binary search tree for the words student, professor, university, midterm, final, graduation, celebration, beer, and hangover using alphabetical order. The first word is the root, so this won't necessarily be a balanced tree.