Question

What is the number of connections in the mesh topology having 5 devices?

• A. 10
• B. 12
• C. 20
• D. 5

Hint:

The formula for the number of connections in a fully connected mesh topology is identical to the mathematical combination formula $^{n}C_{2}$:
\[ \text{Links} = \frac{n(n-1)}{2} \]
This is a high-yield formula for networking exams!

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
In a full mesh topology, every device is connected to every other device. The formula to calculate the number of physical links (connections) for \( n \) devices is \( \frac{n(n-1)}{2} \).

Step 2: Detailed Explanation:
Given \( n = 5 \):
\[ \text{Connections} = \frac{5(5-1)}{2} = \frac{5 \times 4}{2} = \frac{20}{2} = 10 \]

Step 3: Final Answer:
The number of connections is 10.