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Question

How many trees can be formed using 3 nodes

A
4
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B
5
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C
6
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D
7
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Solution

The correct option is B 6

6 trees can be formed using 3 nodes.

The root node has two children, each of which is an ordered tree with two elements. There are two ways we could order the two remaining nodes. So there are 3*2 = 6 possible ordered trees with three nodes given that the root node has two children.

A tree is a widely used data structure implementing this ADT—that simulates a hierarchical tree structure, with a root value and sub trees of children with a parent node, represented as a set of linked nodes.



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