Problem 1. Number of Transitions (4 points) , (a) [2 points] In a DFA (Q, 2,8,90,F), what is the maximum number of transitions? A transition is defined as a pair (q e Q,c e E). Your answer should be in terms of the given variables. Briefly justify your answer. Solution: (b) [2 points] In a NFA (Q, 1,8,90,F), what is the maximum number of transitions? A transition is defined as a pair (q Q,ce Le). You can assume there are no e-transitions from a state to itself. Your answer should be in terms of the given variables. Briefly justify your answer. Solution