perplexus.info :: Just Math : Minimizing disjoint sum

Minimizing disjoint sum (Posted on 2023-06-20)

Let A and B be two non-empty subsets of X = {1, 2, . . . , 8 } with A ∪ B = X and A ∩ B = ∅. Let P_A be the product of all elements of A and let P_B be the product of all elements of B. Find the minimum possible value of P_A +P_B.

No Solution Yet Submitted by Danish Ahmed Khan

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Puzzle Answer

Comment 6 of 6 |

The required minimum possible value of P(A )+P(B) is 402

Posted by K Sengupta on 2023-06-25 02:26:34

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