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No of spanning trees in a complete graph Kn is given by n^(n-2)

so for 5 labelled vertices no of spanning trees 125

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Q: How many spanning trees can be drawn with 5 labeled vertices?
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What is the total number of spanning tree that can be drawn using five labeled vertices?

125 according to Cayley's formula for counting spanning trees. For a complete graph Kn, t(kn) = nn-2 where n is the number of vertices.


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