How many edges are there in a graph with 15 vertices each with degree 8?

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Let m be the the number of edges

Because the sum of the degrees of the vertices is

$15 \times8 = 120$ , the handshaking theorem tells us that $2m = 120\implies m=60$ .

So the number of edges m = 60.

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Question ID: mtid-5-stid-8-sqid-109-qpid-38