Question
The numbers `1`, `2`, `3`, ..., `9` are divided into `3` sets. Prove that there is a set where the product of the numbers is greater than or equal to `72`.
Difficulty level (1 very easy - 10 very hard): 3
Topics:
Number Theory
Combinatorics
->
Pigeonhole Principle
Algebra
->
Inequalities
Proof and Example
->
Proof by Contradiction
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