a) How many edges does a full 5-ary tree with 121 leaves have?

b) How many vertices does a full 7-ary tree with 121 internal vertices have?

c) T is a binary tree of height 3. What is the largest and smallest number of nodes that T can have?

d) The futsal tournament follows a single-elimination format in which a team is eliminated after one loss. Suppose the results of the tournament are represented in a binary tree. If the tournament is limit only 5 rounds of games to determine the winner, how many teams can be registered for the tournament and how many matches need to schedule by the organizer?