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Proof Needed

True or false:

There do not exist two subsets of a set of 9 consecutive natural numbers such that the product of the elements of the two subsets are equal.

Note by Aditya Narayan Sharma
1 year, 6 months ago

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Let the set be\(({1,2,3,4,5,6,7,8,9)}\).This set has the subsets \({(1,6)}\)and \((2,3)\).Both these subsets have product of their respective elements equal to \(6\).So,the statement is false.

Indraneel Mukhopadhyaya - 1 year, 6 months ago

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