Prior to the start of the season, a sports analyst is attempting to predict the end-of-season rankings

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Prior to the start of the season, a sports analyst is attempting to predict the end-of-season rankings of the 10 teams in a conference.
a. How many different ways can the teams be ranked if ties are not considered?
b. How many different combinations are possible if only the first three places (first, second, and third) are considered?
c. If each of the combinations in part b is equally likely, what is the probability that the sports analyst selects the correct end-of-season combination?
d. How many different rankings are possible if only the first three places are considered?
e. If each of the rankings in part d is equally likely, what is the probability that the sports analyst selects the correct end-of-season ranking?
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