If G is a full 5-ary tree with 13 leaves, then the number of internal vertices is
A. 5 B. 16 C. 15 D. 3
2026-03-28 16:25:53.1774715153
If G is a full 5-ary tree with 13 leaves, then the number of internal vertices is
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You can actually solve this one just by trying to construct such a tree. Every internal vertex must have exactly $5$ children, so you start with a root and its $5$ children. Clearly that’s not enough leaves, so give one of those children $5$ children. If you stop there, you have $5+4=9$ leaves. That’s not enough: you need $4$ more. There are a couple of ways to get them, but either way will give you the answer to the question.