Question: A tree has 7 vertices. (i) How many edges this tree can have? (1 Mark) (ii) If the degrees of first six vertices are 1,1,1,2,2

A tree has 7 vertices. (i) How many edges this tree can have? (1 Mark) (ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of next vertex? Show all your work. (2 Marks) (iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such tree? Explain with detail. (2 Marks) B IE U S X2 X2 E D C > (i) Number of edges= (ii) Detail to find degree of vertex in a tree: (iii) Explanation of possibility of a tree

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