Q. Consider a complete graph G with 4 vertices. The graph G has spanning trees.

  • (A) 15
  • (B) 8
  • (C) 16
  • (D) 13
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βœ… Correct Answer: (C) 16
Explanation: a graph can have many spanning trees. and a complete graph with n vertices has n(n-2) spanning trees. so, the complete graph with 4 vertices has 4(4-2) = 16 spanning trees.

Explanation by: Mr. Dubey
a graph can have many spanning trees. and a complete graph with n vertices has n(n-2) spanning trees. so, the complete graph with 4 vertices has 4(4-2) = 16 spanning trees.

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