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a) Prove the Inclusion-Exclusion Principle for two sets. (5 Marks) b) By using principle in (a), i. Find how many integers from 1 through 1000

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a) Prove the Inclusion-Exclusion Principle for two sets. (5 Marks) b) By using principle in (a), i. Find how many integers from 1 through 1000 are multiples of 4 or multiples of 6. (3 Marks) ii. Find how many integers from 1 through 1000 are neither multiples of 4 nor multiples of 6

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