ii. Let G = (V, E) be a tree. Prove G has |V | ? 1 edges usingstrong induction. Hint: In the inductive step, choose an edge (u,v) and partition the set vertices into two subtrees, those that arereachable from u without traversing (u, v) and those that arereachable from v without traversing (u, v). You will have to reasonwhy these subtrees are distinct subgraphs of G.
iii. What is the total degree of a tree?