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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


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

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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