Question : In a completely connected network, how many lines are required for connecting 6 nodes?
Option 1: 12
Option 2: 15
Option 3: 30
Option 4: 24
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Correct Answer: 15
Solution : The correct option is 15 .
In a completely connected network, also known as a fully connected or fully meshed network, each node is directly connected to every other node. The formula to calculate the number of lines (or links) required in a fully connected network is given: n×(n−1)/2.
For six nodes: Number of lines = 6×(6−1)/2= 30/2=15. Therefore, 15 lines are required to connect six nodes in a completely connected network.
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