### Break Down the Problem
1. Understand the definition of a tree: A tree is a connected graph with no cycles.
2. Identify the relationship between vertices and edges in a tree.

### Relevant Concepts
1. A fundamental property of trees is that the number of edges $ E $ in a tree with $ V $ vertices is given by the formula:
$$
E = V - 1
$$

### Analysis and Detail
1. Given that the number of vertices $ V = 25 $:
$$
E = 25 - 1 = 24
$$

### Verify and Summarize
- The calculations confirm that for a tree with 25 vertices, the number of edges should indeed be 24.

### Final Answer
The required number of edges for the graph to be a tree is **24** (Option a).

Question

### Break Down the Problem
1. Understand the definition of a tree: A tree is a connected graph with no cycles.
2. Identify the relationship between vertices and edges in a tree.

### Relevant Concepts
1. A fundamental property of trees is that the number of edges $ E $ in a tree with $ V $ vertices is given by the formula:  
   $$
   E = V - 1
   $$

### Analysis and Detail
1. Given that the number of vertices $ V = 25 $:
   $$
   E = 25 - 1 = 24
   $$

### Verify and Summarize
- The calculations confirm that for a tree with 25 vertices, the number of edges should indeed be 24.

### Final Answer
The required number of edges for the graph to be a tree is **24** (Option a).

Knowee AI · Accepted Answer

### Break Down the Problem
1. Understand the definition of a tree: A tree is a connected graph with no cycles.
2. Identify the relationship between vertices and edges in a tree.

### Relevant Concepts
1. A fundamental property of trees is that the number of edges $ E $ in a tree with $ V $ vertices is given by the formula:  
   $$
   E = V - 1
   $$

### Analysis and Detail
1. Given that the number of vertices $ V = 25 $:
   $$
   E = 25 - 1 = 24
   $$

### Verify and Summarize
- The calculations confirm that for a tree with 25 vertices, the number of edges should indeed be 24.

### Final Answer
The required number of edges for the graph to be a tree is **24** (Option a).

A graph has 25 vertices. How many edges are required for the graph to be a tree?Question 1Answera.24b.26c.19d.25

Question

A graph has 25 vertices. How many edges are required for the graph to be a tree?

Solution

Break Down the Problem

Relevant Concepts

Analysis and Detail

Verify and Summarize

Final Answer

Similar Questions

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