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5

Part of 2014 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2014 Grade 6 Problem 5

Source:

10/3/2018
Let ABCDEFABCDEF be a hexagon. Sides and diagonals of hexagon are colored in two colors: blue and yellow. Prove that there exist a triangle with vertices from set {A,B,C,D,E,F}\{A,B,C,D,E,F\} which sides are all same colour
combinatoricshexagon
Junior Regional Olympiad - FBH 2014 Grade 7 Problem 5

Source:

10/3/2018
From digits 00, 11, 33, 44, 77 and 99 were written 55 digit numbers which all digits are different. How many numbers from them are divisible with 55
Digits
Junior Regional Olympiad - FBH 2014 Grade 8 Problem 5

Source:

10/3/2018
How many are there 44 digit numbers such that they have two odd digits and two even digits
number theory