An equity analyst claims to be able to predict which of a set of stocks will gain the most in the coming year. He is given a list of ten stocks, and asked to predict, in order, the top three. What is the probability of getting the top three right, in order, by chance? (That is, assume that he in fact has no useful knowledge to bring to bear on this question, so that any stock is as likely as any other to get randomly picked for any place in his top three.)

Show two different ways to get this answer.