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# Wolf, Goat, Cabbage

Jon Stammers on Flickr

They also have another advantage: they’re free. Many logic puzzles also date back thousands of years. Here is a classic river crossing puzzle.

### The Puzzle

You stand on the bank of a river with a wolf, a goat, and cabbage. You can carry only one across the river at a time. The wolf will eat the goat if left alone. And the goat will eat your cabbage if left alone. How do you get the wolf, goat, and cabbage across the river?

### The Solution

This ancient puzzle appears in many cultures and dates from at least a thousand years ago. Most people assume you will cross the river with one item — the wolf or goat or cabbage — then return empty handed to get the second then third item. If you do this, however, at some point the goat will eat the cabbage or the wolf will eat the goat.

It’s also important to note the wolf will not eat the cabbage. Therefore, the goat must be carried across first. Don’t believe me? Pull out a piece of paper and write down what happens if you take across the wolf, goat, and cabbage in different orders.

The solution is to return with one item, in this order:

1. Cross the river with the goat.
2. Return empty handed to the wolf and cabbage.
3. Cross the river with the cabbage.
4. Bring the goat back with you to get the wolf. Leave the goat on shore.
5. Cross the river with the wolf and leave it with the cabbage.
6. Return empty handed to the goat.
7. Cross the river again with the goat.

This version of the puzzle is from Alcuin who published a small book of puzzles around 800 AD. Other variations include a fox, a goose, and a bag of beans, as well as other combinations.

Below are links to other sites with logic puzzles you can try to solve. If you try to find more of these online, turns out these puzzles are hard to find. They’re called logic puzzles, deductive reasoning puzzles, brain busters, and several other terms.

#### Logic Problems for Kids

http://www.thelogiczone.plus.com/logic_index.htm

#### The Case of the Stolen Birthday Cake

Wonderful elaborate logic puzzle with handouts.
https://corduroysbutton.wordpress.com/2012/04/18/clue-the-case-of-the-stolen-birthday-cake/
https://corduroysbutton.wordpress.com/tag/deductive-reasoning/

#### A Guide to Puzzle-Based Learning in STEM Subjects

Pages 20 onward have a number of logic puzzles with solutions.
http://web.mat.bham.ac.uk/C.J.Sangwin/Publications/GuideToPuzzleBasedLearningInSTEM.pdf

#### Recreational Mathematics

This book excerpt has a neat history of math puzzles.
http://www.ams.org/bookstore/pspdf/mbk-63-prev.pdf