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Consider the following weighted graph, where the weight of every edge is written on the edge itself.

What is the number of possible minimum spanning trees for the above graph?

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There are three choices to use an edge of weight $2$ that can be used interchangeably and there are two choices of using an edge of weight $3$ that can be used interchangeably. So there are $3 * 2$ $=6$ possible MST's.
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