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6. (10 points) A tree is a graph of nodes and edges that contains no cycles, which means that removing any edge splits the graph

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6. (10 points) A tree is a graph of nodes and edges that contains no cycles, which means that removing any edge splits the graph into disconnected subtrees. Use induction to prove that any tree containing n nodes has n - 1 edges. State the base case and inductive hypothesis in your proof

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