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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.

1 year 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. · 1 year ago