MathDB

1

Part of 2020 Azerbaijan National Olympiad

Problems(1)

Problem 1

Source: Azerbaijan third round 2020

6/6/2020
1313 fractions are corrected by using each of the numbers 1,2,...,261,2,...,26 once.Example:125,1826....\frac{12}{5},\frac{18}{26}.... What is the maximum number of fractions which are integers?
number theorycombinatorics