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Problem 3: Inclusion-Exclusion 18 points) (a) How many numbers in {1, . . . , 1000} are not divisible by 5 or 11? (b) A

Problem 3: Inclusion-Exclusion 18 points) (a) How many numbers in {1, . . . , 1000} are not divisible by 5 or 11? (b) A fair 6-sided die is rolled n times. What is the probability that at least one face is never shown

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