Spanning tree of a Petersen graph

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I am asked to find the number of spanning tree of a petersen graph. I have to tried to count it but i realise i can't because there are so many different combination.

Are there any method that i can actually calculate it?

Thanks

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The number is 2000. Refer chapter 6, Algebraic graph theory, Norman Biggs. Note that Petersen graph is the complement of the line graph of K5.