Problem 8.27. Define size and height (see Exercise 8.10) for rooted ternery trees (RTT) and rooted trees (RT). (a) Prove: For any rooted ternary tree (RTT)T,size(T)(3height(T)+11)/3. Find such a bound for the size of a rooted tree (RT) in terms of its height or explain why there isn't one. (b) Prove: For any rooted ternary tree (RTT) ), size (T) height (T)+1. Find such a bound for the size of a rooted tree (RT) in terms of its height or explain why there isn't one. (c) Prove: For any rooted full ternary tree (RFTT), size (T)3 height (T)+1