$3\mathrm{.}35$ If an FSM has $\backslash ($ N $\backslash )$ states, what is the maximum number of possible transitions that could exist in the FSM$?$ Assume that no pair of states has more than one transition in the same direction, and that no state has a transition point back to itself. Assuming there are a large number of inputs, meaning the number of transitions is not limited by the number of inputs? Hint: try for small $\backslash ($ N $\backslash ),$ and then generalize.