MathDB

4

Part of 2014 Bosnia And Herzegovina - Regional Olympiad

Problems(3)

Regional Olympiad - FBH 2014 Grade 9 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

9/24/2018
Determine the set SS with minimal number of points defining 77 distinct lines
combinatoricsPlanegeometry
Regional Olympiad - FBH 2014 Grade 10 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

9/24/2018
How namy subsets with 33 elements of set S={1,2,3,...,19,20}S=\{1,2,3,...,19,20\} exist, such that their product is divisible by 44.
combinatoricsDivisibility
Regional Olympiad - FBH 2014 Grade 11 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014

9/24/2018
At the beginning of school year in one of the first grade classes: i)i) every student had exatly 2020 acquaintances ii)ii) every two students knowing each other had exactly 1313 mutual acquaintances iii)iii) every two students not knowing each other had exactly 1212 mutual acquaintances Find number of students in this class
combinatoricsacquaintance