What is the maximum number of edges in a simple graph with n vertices. Justify your answer.

Question

What is the maximum number of edges in a simple graph with n vertices. Justify your answer.
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Solution 1

To find the maximum number of edges in a simple graph with n vertices, we need to consider the definition of a simple graph.

In a simple graph, there can be at most one edge between any two vertices, and there are no self-loops (edges connecting a vertex to itself).

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