Mr. Dobson is planning to give a quiz to his class tomorrow. Unfortunately for his students, Mr. Dobson is notorious for writing quizzes that seem to have no relevance to the subject. With this in mind, his students know that their efforts will be purely guesswork. If the quiz contains ten questions that the students will have to match with ten given answers, what is the probability that Rodney Random will get all ten questions matched correctly?
Notice that the answers are matched to questions, so when one answer is used for one question it cannot be used for another.
How many ways can