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Trees with the most leaves. (a) If T is a tree with n vertices, what is...

Trees with the most leaves.

(a) If T is a tree with n vertices, what is the most leaves that it can have? Your answer will be an expression involving the variable n. Explain your reasoning. Be sure to address small values for n (e.g., n = 1 or 2).

(b) Draw a tree with eight vertices that has the most number of leaves possible.

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