Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**bluemist****Member**- Registered: 2012-10-10
- Posts: 1

HI EVERYONE! Can you please help me with these. I already got some of it and answers are already in the net but what i really want is a step-by-step solution. I just made some guesses in some of them. I hope you could help out thanks

Five friends have their gardens next to one another, where they grow three kinds of crops: fruits (apple, pear, nut, cherry), vegetables (carrot, parsley, gourd, onion) and flowers (aster, rose, tulip, lily).

1. They grow 12 different varieties.

2. Everybody grows exactly 4 different varieties

3. Each variety is at least in one garden.

4. Only one variety is in 4 gardens.

5. Only in one garden are all 3 kinds of crops.

6. Only in one garden are all 4 varieties of one kind of crops.

7. Pear is only in the two border gardens.

8. Paul's garden is in the middle with no lily.

9. Aster grower doesn't grow vegetables.

10. Rose growers don't grow parsley.

11. Nuts grower has also gourd and parsley.

12. In the first garden are apples and cherries.

13. Only in two gardens are cherries.

14. Sam has onions and cherries.

15. Luke grows exactly two kinds of fruit.

16. Tulip is only in two gardens.

17. Apple is in a single garden.

18. Only in one garden next to Zick's is parsley.

19. Sam's garden is not on the border.

20. Hank grows neither vegetables nor asters.

21. Paul has exactly three kinds of vegetable.

Who has which garden and what is grown where?

Offline

**pRo9aMeR****Member**- Registered: 2012-07-28
- Posts: 43

I've done all of the other Einstein puzzles on the website but this one still eludes me as well, bluemist.

I posted an Einstein puzzle that I made a few months back. To my knowledge, only one person here has solved it. It's called "Who has the purple door?"

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,536

hi bluemist,

Welcome to the forum.

I'm sure there has been a thread on this puzzle but I cannot find it. I'm reasonably confident I can take you through the steps. Would you like it if we do the puzzle together using my method. I think it will work.

You can start either with a big sheet of paper or (my preference these days) set out the information in a spreadsheet such as Excel.

Post back if you'd like to give it a try.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,928

Hi all,

I solved this puzzle on the 23rd of July this year, but a check of all my posts near that date drew a blank.

I also tried searching using keywords such as "parsley", "onion", "Zick" and "Zick's", but nothing turned up except this thread.

My solution strategy was by process of elimination, using a grid that I drew up in Excel (see image of my starting grid).

As well as the main grid at the bottom, I also created a work area specifically for questions 4, 5 & 6.

Then, by reading, re-reading and re-re-reading the clues, and making eliminations along the way (just by deleting the letter in the applicable cell), I eventually came to the solution. Use of cell-fill colours along the way helped visually.

*Last edited by phrontister (2012-12-05 02:47:59)*

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,673

Hi phro

Have I ever said how much I admire your Excel skills?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,536

hi phro,

Thanks. Once you gave me the date I found my own Excel solution.

But bluemist wanted to know how to do it so I am trying to forget I know the answer, so I can go through how to get it from scratch.

Fortunately, my poor memory is an advantage when it comes to this approach.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,928

Hi Stefy,

Yes, I use Excel quite a bit and enjoy it. It has a wide range of application, is very good at doing what it's designed for, and a lot of it is quite user-friendly too...which suits me. Compared to the wealth of knowledge out there in the wider Excel community, though, I'm just poking at it with a stick.

Hi Bob,

If we haven't posted about this puzzle before, I wonder how we came to do it at about the same time? ESP? Twins?

I'll watch this thread with interest (whoever that is) so I can learn from your step-by-step solution with bluemist.

*Last edited by phrontister (2012-12-05 11:22:24)*

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

Pages: **1**