MathDB

5

Part of 2015 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2015 Grade 6 Problem 5

Source:

10/1/2018
In how many ways you can pay 2015$2015\$ using bills of 1$1\$, 10$10\$, 100$100\$ and 200$200\$
equationnumber theory
Junior Regional Olympiad - FBH 2015 Grade 7 Problem 5

Source:

10/1/2018
It is given 20152015 numbers such that every one of them when gets replaced with sum of the rest, we get same 20152015 same numbers. Prove that product of all numbers is 00
combinatorics
Junior Regional Olympiad - FBH 2015 Grade 8 Problem 5

Source:

10/1/2018
Prove that for every parititon of set X={1,2,...,9}X=\{1,2,...,9\} on two disjoint sets at least one of them contains three elements such that sum of some two of them is equal to third
Setsdisjoint