Can you explain the answer of this question below:Which of the followi...
A full binary tree (sometimes proper binary tree or 2-tree) is a tree in which every node other than the leaves has two children. A Binary Tree is complete Binary Tree if all levels are completely filled except possibly the last level and the last level has all keys as left as possible.
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Can you explain the answer of this question below:Which of the followi...
Explanation:
Binary Trees can be classified into different types based on their properties. Let's look at the given options one by one.
a) Every binary tree is either complete or full.
This statement is false. There are many types of binary trees that are neither complete nor full. For example, a binary tree with only one node is neither complete nor full.
b) Every complete binary tree is also a full binary tree.
This statement is false. A complete binary tree has all of its levels filled except possibly the last level. A full binary tree, on the other hand, has every node either having two children or none. So, a complete binary tree can have nodes with only one child, making it not a full binary tree.
c) Every full binary tree is also a complete binary tree.
This statement is false. A full binary tree has every node either having two children or none. But a complete binary tree has all of its levels filled except possibly the last level. So, a full binary tree may not have all of its levels filled, making it not a complete binary tree.
d) No binary tree is both complete and full.
This statement is false. There exists a special type of binary tree known as a perfect binary tree, which is both complete and full. In a perfect binary tree, all the levels are filled, and every node has either two children or none.
e) None of the above.
This statement is true. None of the above statements are true for all binary trees. There are different types of binary trees, and each type has its own properties. Some binary trees may be complete, some may be full, and some may be both or neither.
In conclusion, we can say that binary trees can be classified into different types based on their properties, and it is important to understand the differences between them.
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