In a complete graph, the number of line segments equals the number of points. How many points does the graph have?
- A.2
- B.3 ✓
- C.4
- D.5
Explanation: Number of segments = n(n−1)/2. Setting this equal to n gives (n−1)/2 = 1, so n = 3. Check: 3 points give 3×2/2 = 3 segments — equal to the number of points.
Class 6 IMO Mathematics Olympiad practice · HOTS / Achievers · Multi-Concept Achievers
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