MathDB
TOT 2014 Spring O J2, 15 pasties on a round plate in a circular way

Source:

September 11, 2020
combinatorics

Problem Statement

Mother baked 1515 pasties. She placed them on a round plate in a circular way: 77 with cabbage, 77 with meat and one with cherries in that exact order and put the plate into a microwave. All pasties look the same but Olga knows the order. However she doesn't know how the plate has been rotated in the microwave. She wants to eat a pasty with cherries. Can Olga eat her favourite pasty for sure if she is not allowed to try more than three other pasties?