Question: Question 2 (20 marks) (a) HOW many perfect matchings do each of the following trees T1 and T2 contain? Justify your answer. T1 = T2:

Question 2 (20 marks) (a) HOW many perfect matchings do each of the following trees T1 and T2 contain? Justify your answer. T1 = T2: (b) Prove that a tree always contains at most one perfect matching. Hint: Proceed by induction on the number of vertices

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