The number of edges in a complete graph 𝐾𝑛 is given by the formula 𝑛(𝑛−1)/2. This is because each node in the graph is connected to every other node.

So, for 𝑛 nodes, each node is connected to 𝑛−1 other nodes. But this counts each edge twice (once for each of its two nodes), so we must divide by 2 to get the correct count.

Therefore, the correct answer is C. 𝑛(𝑛−1)/2.

Question

The number of edges in a complete graph 𝐾𝑛 is given by the formula 𝑛(𝑛−1)/2. This is because each node in the graph is connected to every other node.

So, for 𝑛 nodes, each node is connected to 𝑛−1 other nodes. But this counts each edge twice (once for each of its two nodes), so we must divide by 2 to get the correct count.

Therefore, the correct answer is C. 𝑛(𝑛−1)/2.

Knowee AI · Accepted Answer

The number of edges in a complete graph 𝐾𝑛 is given by the formula 𝑛(𝑛−1)/2. This is because each node in the graph is connected to every other node.

So, for 𝑛 nodes, each node is connected to 𝑛−1 other nodes. But this counts each edge twice (once for each of its two nodes), so we must divide by 2 to get the correct count.

Therefore, the correct answer is C. 𝑛(𝑛−1)/2.

The number of edges in a complete graph 𝐾𝑛K n is:A. 𝑛nB. 𝑛−1n−1C. 𝑛(𝑛−1)22n(n−1) D. 2𝑛2n

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The number of edges in a complete graph 𝐾𝑛K n​ is:A. 𝑛nB. 𝑛−1n−1C. 𝑛(𝑛−1)22n(n−1)​ D. 2𝑛2n

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The number of edges in a complete graph 𝐾𝑛K n is:A. 𝑛nB. 𝑛−1n−1C. 𝑛(𝑛−1)22n(n−1) D. 2𝑛2n