Junior Regional Olympiad - FBH 2017 Grade 6 Problem 1
Source:
September 19, 2018
gamecardscombinatorics
Problem Statement
Lamija and Faris are playing the following game. Cards, which are numerated from to , are placed one next to other, starting from to . Now Faris picks every th card, and after that every card which contains number . After that Lamija picks from remaining cards ones divisible with , and after that cards which contain number . Who will have more cards and how many ? How would game end, if Lamija started with " rule" and Faris continues with " rule"?