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The number of edges in a complete graph ๐พ๐‘›K nโ€‹ is:A. ๐‘›nB. ๐‘›โˆ’1nโˆ’1C. ๐‘›(๐‘›โˆ’1)22n(nโˆ’1)โ€‹ D. 2๐‘›2n

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The number of edges in a complete graph ๐พ๐‘›K nโ€‹ is:A. ๐‘›nB. ๐‘›โˆ’1nโˆ’1C. ๐‘›(๐‘›โˆ’1)22n(nโˆ’1)โ€‹ D. 2๐‘›2n
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Solution 1

The number of edges in a complete graph ๐พ๐‘› is given by the formula ๐‘›(๐‘›โˆ’1)/2. This is because each node in the graph is connected to every other node.

So, for ๐‘› nodes, each node is connected to ๐‘›โˆ’1 other nodes. But this counts each edge twice (once for each of its two nodes), so we must divide by 2 Knowee AI is a powerful AI-powered study tool designed to help you to solve study proble

e by 2 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowe

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