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A tree has 2 n vertices of degree 1,3 n vertices of degree 2, n vertices of degree 3 . Determine the number of vertices and edges in tree.

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Correct answer: A. 12,11

Explanation

There are 6n vertices and 6n − 1 edges. Sum of degrees = 2n + 6n + 3n = 11n = 2(6n − 1), so n = 2: 12 vertices and 11 edges.

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