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Let A = {2, 3, . . . , 50}, that is, A is the set of positive integers greater than 1 and less than 51. Determine the smallest number x such that every subset of A having x elements contains at least two integers that have a common divisor greater than 1, and justify your answer.
(5 marks) Let A {2,3, ,50}, that is, A is the set of positive integers greater than 1 and less than 51. Determine the smalles
(5 marks) Let A {2,3, ,50}, that is, A is the set of positive integers greater than 1 and less than 51. Determine the smallest number r such that every subset of A having x elements contains at least two integers that have a common divisor greater than 1, and justify your answer
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