olymmath

AT-OEMO-FED1 1989 Problem 1

    Natural numbers a≤b≤c≤da \le b \le c \le d satisfy a+b+c+d=30a+b+c+d=30 . Find the maximum value of the product P=abcd.P=abcd.

    Dataset text AI-MO AoPS. Quoted with source.

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