How many edges are present in a spanning tree containing 25 vertices?
Options
- A. 24
- B. 25
- C. 26
- D. More than one of the above
- E. None of the above
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Quiz Practice:
Correct Answer (Detailed Explanation is Below)
A. 24
Detailed Explanation
For every tree with N vertices, the number of edges is exactly N - 1. Therefore, a spanning tree containing 25 vertices has 25 - 1 = 24 edges. A spanning tree connects all vertices while avoiding cycles. This formula is useful for quickly solving numerical questions: simply subtract one from the number of vertices.