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n ? 2 distinguishable Hogwarts students participate in Snapes experiment. Each student is given potion A, or philter B, or neither, or both. We know

n ? 2 distinguishable Hogwarts students participate in Snapes experiment. Each student is given potion A, or philter B, or neither, or both. We know that Harry and Hermione are the only students among the "n" that are given both A and B. In how many distinct ways could Snape have distributed his experimental liquids?

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