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MathNet 2016-part-06 — 184 problems (EN–VI) Question 133

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 133

Olesya chose 5 numbers from the set $\{1; 2; 3; 4; 5; 6; 7\}$. She told Pavlik the product of these numbers and asked whether the sum of these numbers is odd or even. Pavlik replied that he could not determine it for sure. What product might have had Olesya?