Determine if the following scenarios represent combinations or permutations. a. How many ways are there to pick 3 astronauts to go to the moon out of 10 candidates? Select an answer b. How many different ways are there to pick 3 astronauts to go to the moon, when one will be captain, one navigator, and one science officer? Select an answer c. If there are 12 runners in a race, how many different orders could the all 12 runners finish? Select an answer d. If there are 12 runners in a race, and prizes are given for first, second, and third places, how many different orders are there for the top 3 places? Select an answer e. If there are 12 runners in a race, and 3 runners are randomly chosen out of the 12 for drug testing, how many different ways can these 3 be chosen? Select an answer

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