https://file.aiquickdraw.com/mathbot/file/1730230399798psedxpy5.jpg

To determine the number of nodes and edges in the given network:

1. **Nodes (Vertices)**: We count each unique point labeled in the network. In this image, we have:
   - \( A, B, C, D, \) and \( E \),
   - giving us a total of **5 nodes**.

2. **Edges**: We count each unique connection (line) between pairs of nodes. From the image, the edges are:
   - \( AB, AC, AD, AE, BC, BD, BE, \) and \( CD \),
   - giving us a total of **8 edges**.

### Summary:
- **Number of Nodes**: 5
- **Number of Edges**: 8

Would you like further details on network analysis or graph properties? 

Here are some related questions:
1. How would the properties change if we added another edge?
2. What would happen if we removed one of the edges?
3. What are connected and disconnected networks?
4. How can we calculate the degree of each node in this network?
5. What is the difference between directed and undirected networks?

**Tip**: In network theory, the "degree" of a node refers to the number of edges connected to it.

State the number of nodes and edges in the following networks.

Learn how to count the nodes and edges in a network using basic graph theory concepts. This guide covers a step-by-step approach to identifying nodes and edges in a network, perfect for middle school students exploring introductory graph theory.

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