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Minimizing disjoint sum (Posted on 2023-06-20) |
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Let A and B be two non-empty subsets of X = {1, 2, . . . , 8 } with A ∪ B = X and A ∩ B = ∅. Let PA be the product of all elements of A and let PB be the product of all elements of B. Find the minimum possible value of PA +PB.
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