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Number of twigs in a tree are? n- number of nodes
- a)n
- b)n+1
- c)n-1
- d)n-2
Correct answer is 'C'. Can you explain this answer?
Most Upvoted Answer
Number of twigs in a tree are? n- number of nodesa)nb)n+1c)n-1d)n-2Cor...
The number of twigs (or terminal branches) in a tree can be calculated based on its structure. For a tree with n nodes, the following is true:
- A tree with n nodes will always have n-1 edges (since it is a connected, acyclic graph).
- The number of twigs or terminal branches corresponds to the leaf nodes, which depend on the tree's structure.
For most standard interpretations in tree theory, the number of edges is n−1n-1, and not directly the number of twigs.
Correct Answer:
c) n-1
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Community Answer
Number of twigs in a tree are? n- number of nodesa)nb)n+1c)n-1d)n-2Cor...
The correct answer is C) n-1.
To understand why the number of twigs in a tree is n-1, we need to first understand some basic concepts about trees.
Introduction to Trees:
- In computer science, a tree is a hierarchical data structure that consists of nodes connected by edges.
- Each node in a tree can have zero or more child nodes, and there is always a single node called the root node.
- The edges in a tree represent the relationships between the nodes.
Understanding the Number of Twigs:
- In the context of this question, a twig refers to an edge in the tree.
- Each edge connects two nodes and represents a relationship between them.
- The number of twigs in a tree is equal to the number of edges.
Determining the Number of Edges in a Tree:
- The number of edges in a tree can be determined by counting the number of relationships between the nodes.
- In a tree, each node (except the root node) is connected to exactly one parent node.
- Therefore, the number of edges is equal to the number of nodes minus one.
Explanation of the Answer:
- The given question states that the number of twigs in a tree is n, where n represents the number of nodes.
- Since the number of twigs is equal to the number of edges, we can conclude that n is equal to the number of edges.
- However, as mentioned earlier, the number of edges in a tree is equal to the number of nodes minus one.
- Therefore, the correct answer is n-1.
To summarize, the number of twigs (or edges) in a tree is equal to the number of nodes minus one.
To understand why the number of twigs in a tree is n-1, we need to first understand some basic concepts about trees.
Introduction to Trees:
- In computer science, a tree is a hierarchical data structure that consists of nodes connected by edges.
- Each node in a tree can have zero or more child nodes, and there is always a single node called the root node.
- The edges in a tree represent the relationships between the nodes.
Understanding the Number of Twigs:
- In the context of this question, a twig refers to an edge in the tree.
- Each edge connects two nodes and represents a relationship between them.
- The number of twigs in a tree is equal to the number of edges.
Determining the Number of Edges in a Tree:
- The number of edges in a tree can be determined by counting the number of relationships between the nodes.
- In a tree, each node (except the root node) is connected to exactly one parent node.
- Therefore, the number of edges is equal to the number of nodes minus one.
Explanation of the Answer:
- The given question states that the number of twigs in a tree is n, where n represents the number of nodes.
- Since the number of twigs is equal to the number of edges, we can conclude that n is equal to the number of edges.
- However, as mentioned earlier, the number of edges in a tree is equal to the number of nodes minus one.
- Therefore, the correct answer is n-1.
To summarize, the number of twigs (or edges) in a tree is equal to the number of nodes minus one.
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