Question

How many of the integers 1,2,....,2000 are not divisible by any of the numbers 2, 3...

How many of the integers 1,2,....,2000 are not divisible by any of the numbers 2, 3 or 11?

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Answer #1

Let be the set integers of divisible by 2, be the set integers of divisible by 3 and   be the set integers of divisible by 11

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Number of the integers 1,2,....,2000 are not divisible by any of the numbers 2, 3 or 11 are

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