MathDB
2022 Combinatorics 4

Source:

March 18, 2022
combinatorics

Problem Statement

Compute the number of nonempty subsets S{10,9,8,...,8,9,10}S \subseteq\{-10,-9,-8, . . . , 8, 9, 10\} that satisfy S+ min(S)max(S)=0.|S| +\ min(S) \cdot \max (S) = 0.