A tree T of order n is known to satisfy the following properties: (1) 95 < n < 100, (2)

Chapter 13, Problem 17

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A tree T of order n is known to satisfy the following properties: (1) 95 < n < 100, (2) the degree of every vertex of T is either 1, 3 or 5 and (3) T has twice as many vertices of degree 3 as that of degree 5. What is n?

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