Maximum product

Discussion in 'Algebra' started by marco.marsella, Jun 24, 2021.

  1. marco.marsella


    Jun 24, 2021
    Likes Received:
    Given a set A (greater than 3 elements) of digits (e.g. A = {1, 1, 2, 4, 4, 5, 5, 5, 7, 7, 8, 9, 9, 0, 0, 0, ...}), find the 2 numbers composed by ALL and ONLY the given digits, that produce the maximum (or minimum) product.

    I could demonstrate a deterministic method for 4 digits.
    For more digits I only found a technique that presumably works, but I couldn't demonstrate it. The algebra gets more complex.

    Am I missing something?
    Can anyone find a fast demonstration?

    marco.marsella, Jun 24, 2021
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