Number of spanning trees of a labeled graph

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This labeled graph is given, I need to find the number of its spanning trees.

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The number of spanning trees of the following graph is 3

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and the number of spanning trees of this is 8

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So as a result the number of spanning trees of the graph is $3^2 \times 8^3 = 4608$ while it is not the correct answer.

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Your reasoning looks correct. And, according to Sage, 4608 is indeed the number of spanning trees.