(related to Problem: The Sixteen Sheep)

The six diagrams on next page show solutions for the cases where we replace $2,$ $3,$ $4,$ $5,$ $6,$ and $7$ hurdles. The dark lines indicate the hurdles that have been replaced. There are, of course, other ways of making the removals.


Thank you to the contributors under CC BY-SA 4.0!



Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

This eBook is for the use of anyone anywhere in the United States and most other parts of the world at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this edition or online at If you are not located in the United States, you'll have to check the laws of the country where you are located before using this ebook.