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How many leaf nodes are there

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1. In a binary tree with exactly 15 internal nodes, 10 of them have 2 children, and the other 5 have 1 child. How many leaf nodes are there in the tree?

2. Generalize your answer for part (a). In a binary tree with x + y internal nodes, where x of them have 2 children, and y of them have 1 child, how many leaf nodes are there?

3. Prove your answer to part (b). It is recommended you use induction on n.

Reference no: EM131153909

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