Question: Show that a graph G with n vertices can have at most n(n - 1)/2 edges, and G has exactly n(n - 1)/2 edges if

Show that a graph G with n vertices can have at most n(n - 1)/2 edges, and G has exactly n(n - 1)/2 edges if G is complete, that is, if every pair of vertices of G is joined by an edge. (Recall that loops and multiple edges are excluded.)

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