MathDB

3

Part of 2022 Bangladesh Mathematical Olympiad

Problems(1)

a,b,c in one of two disjoint sets such that ab=c

Source: BdMO 2022 Secondary P3

4/12/2022
Prove that if the numbers 3,4,5,…,353,4,5, \dots ,3^5 are partitioned into two disjoint sets, then in one of the sets the number a,b,ca,b,c can be found such that ab=c.ab=c. (a,b,ca,b,c may not be pairwise distinct)
algebra