Problem

Source:

Tags: combinatorics



Mother baked $15$ pasties. She placed them on a round plate in a circular way: $7$ with cabbage, $7$ 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?