How many edges does a complete graph on 5 vertices have?a.5b.10c.15d.20
Question
How many edges does a complete graph on 5 vertices have?a.5b.10c.15d.20
Solution
A complete graph on n vertices has n(n-1)/2 edges.
Step 1: Substitute n = 5 into the formula.
Step 2: Calculate 5(5-1)/2 = 5*4/2 = 20/2 = 10.
So, a complete graph on 5 vertices has 10 edges. Therefore, the answer is b.10.
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