Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2009-part-04 — 175 problems (EN–VI) Question 123

Math Olympiad Vault · MathNet 2009-part-04 — 175 problems (EN–VI)

Question 123

Consider the set $M = \{1,2,3,4,6,8,12,16,24,48\}$ and all of its four-element subsets. Denote by $n$ the number of these subsets such that the product of their elements is greater than $2009$ and by $m$ the number of these subsets such that the product of their elements is smaller than $2009$. Which number is bigger - $n$ or $m$?