What is the number of edges present in a simple (ie. no parallel edges, no self loops) and complete (i.e every pair of vertices is connected by an edge) graph with n vertices? Information given is insufficient (n*(n-1))/2 (n*(n+1))/2 On*n

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**Problem Statement**

What is the number of edges present in a simple (i.e., no parallel edges, no self-loops) and complete (i.e., every pair of vertices is connected by an edge) graph with \( n \) vertices?

**Options**

- ○ Information given is insufficient  
- ○ \(\frac{n \times (n-1)}{2}\)  
- ○ \(\frac{n \times (n+1)}{2}\)  
- ○ \(n \times n\)
Transcribed Image Text:**Problem Statement** What is the number of edges present in a simple (i.e., no parallel edges, no self-loops) and complete (i.e., every pair of vertices is connected by an edge) graph with \( n \) vertices? **Options** - ○ Information given is insufficient - ○ \(\frac{n \times (n-1)}{2}\) - ○ \(\frac{n \times (n+1)}{2}\) - ○ \(n \times n\)
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