Question | Answer |

Bottles 2 and 6 are the same so they must be W or P. If 2 and 6 are W what is 1? | |

Then if the pattern of the bottles is PW??PW? what is 7? | |

If 2 and 6 are P then what are the two possibilities for 1? | |

Then, if the pattern of the bottles is PP???P?, what is 7? | |

Or, if the pattern of the bottles is BP???P?, what is 7? | |

The three bottles marked as ??? must be PWF in some order, how many ways can they be arranged? | |

The position of the extreme (largest or smallest) bottles must help to give the solution. Can just one bottle identify a unique solution? | |

Both extreme bottles will need to give information. Which number bottle does not give any information about its contents by being extreme in any of the 8 cases? | |

Which bottle being extreme will only allow Case C? | |

If 1 is extreme is there another bottle being extreme that can make the solution unique? | |

If there are two extreme bottles in 3,4,5 what Cases would this allow? | |

Can the two solutions from Case B be distinguished by information about the extreme bottles? | |

So at least one of the extreme bottles must be one of: | |

Which Case must the solution come from? | |

The other extreme bottle must be one of: | |

So the Back potion is on the right and the Forward potion is in an extreme bottle in 3 or 4. Can we now find the exact solution? | |

Assume there is a fifth clue: The smallest bottle is directly on the right of the biggest. Which is the biggest bottle? | |

Which is the smallest bottle? | |

What is the full solution? | |

Bottles 2 and 6 are the same so they must be W or P. If 2 and 6 are W what is 1? | |

Then if the pattern of the bottles is PW??PW? what is 7? | |

If 2 and 6 are P then what are the two possibilities for 1? | |

Then, if the pattern of the bottles is PP???P?, what is 7? | |

Or, if the pattern of the bottles is BP???P?, what is 7? | |

The three bottles marked as ??? must be PWF in some order, how many ways can they be arranged? | |

The position of the extreme (largest or smallest) bottles must help to give the solution. Can just one bottle identify a unique solution? | |

Both extreme bottles will need to give information. Which number bottle does not give any information about its contents by being extreme in any of the 8 cases? | |

Which bottle being extreme will only allow Case C? | |

If 1 is extreme is there another bottle being extreme that can make the solution unique? | |

If there are two extreme bottles in 3,4,5 what Cases would this allow? | |

Can the two solutions from Case B be distinguished by information about the extreme bottles? | |

So at least one of the extreme bottles must be one of: | |

Which Case must the solution come from? | |

The other extreme bottle must be one of: | |

## Show Comments