here are 8, 15, 13, 14 nodes were there in 4 different trees. Which of them could have formed a full binary tree?a) 8b) 15c) 13d) 14
Question
here are 8, 15, 13, 14 nodes were there in 4 different trees. Which of them could have formed a full binary tree?a) 8b) 15c) 13d) 14
Solution
To determine which of the given nodes could have formed a full binary tree, we need to understand the concept of a full binary tree.
A full binary tree is a binary tree in which every node has either 0 or 2 children. In other words, each node in a full binary tree has either two child nodes or no child nodes at all.
Let's analyze each of the given nodes:
a) Node 8: Since it is the only node, it cannot form a full binary tree as it does not have any child nodes.
b) Node 15: Similarly, since it is the only node, it cannot form a full binary tree as it does not have any child nodes.
c) Node 13: Again, since it is the only node, it cannot form a full binary tree as it does not have any child nodes.
d) Node 14: This node has the potential to form a full binary tree. However, without additional information about its child nodes, we cannot definitively determine if it can form a full binary tree.
Therefore, the only node that could potentially form a full binary tree is d) 14.
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