data/problems/117.yml
---
:id: 117
:name: Red, green, and blue tiles
:url: https://projecteuler.net/problem=117
:content: "Using a combination of black square tiles and oblong tiles chosen from:
red tiles measuring two units, green tiles measuring three units, and blue tiles
measuring four units, it is possible to tile a row measuring five units in length
in exactly fifteen different ways.\n\n| \n\n| ![]({{ images_dir }}/spacer.gif) |
![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir
}}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif)
| ![]({{ images_dir }}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif)
| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif)
|\n\n |\n| \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif)
| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) |\n\n | \n\n|
![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir
}}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif)
|\n\n |\n| \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif)
| ![]({{ images_dir }}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif)
| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) |\n\n | \n\n|
![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n |\n| \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n | \n\n| ![]({{ images_dir }}/spacer.gif) | ![]({{ images_dir
}}/spacer.gif) |\n\n | |\n\nHow many ways can a row measuring fifty units
in length be tiled?\n\nNOTE: This is related to [Problem 116](problem=116).\n\n"