In an unusual recall election, there are 67 candidates to replace the governor of a state. To negate the advantage that might accrue to candidates whose names appear near the top of the ballot, it is proposed that equal numbers of ballots be printed for each possible order in which the candidates’ names can be listed.

(A) In how many ways can the candidates’ names be listed?

(B) Explain why the proposal is not feasible, and discuss possible alternatives.