Question

How many connections are needed for a full mesh in a network with four devices?

1) 4
2) 6
3) 8
4) 12

Answer 1

In a full mesh network with four devices, a total of 6 connections are needed to ensure that every device is connected directly to every other device without redundancy.

Step-by-step explanation:

The question pertains to determining the minimum number of connections required for a full mesh network, which involves connecting every device directly to every other device. In a full mesh topology, each device needs to be connected to every other device, but no device should have a connection to itself, and duplicate connections are not counted.

To calculate the number of connections (C) in a full mesh network with n devices, you can use the formula:

C = n(n - 1) / 2

For 4 devices, the calculation would be:

C = 4(4 - 1) / 2

C = 4 × 3 / 2

C = 12 / 2

C = 6

Therefore, the number of connections needed for a full mesh in a network with four devices is 6.