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MathNet 2019-part-04 — 184 problems (EN–VI) Question 177

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 177

Let $A = \{ n \in \mathbb{Z} \mid |n| \leq 24 \}$. In how many ways can two distinct numbers be chosen (simultaneously) from $A$ such that their product is less than their sum?