55 lines
1.9 KiB
Markdown
55 lines
1.9 KiB
Markdown
---
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id: 5900f3e01000cf542c50fef3
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title: 'Problem 116: Red, green or blue tiles'
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challengeType: 5
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forumTopicId: 301742
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dashedName: problem-116-red-green-or-blue-tiles
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---
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# --description--
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A row of five black square tiles is to have a number of its tiles replaced with coloured oblong tiles chosen from red (length two), green (length three), or blue (length four).
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If red tiles are chosen there are exactly seven ways this can be done.
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<img class="img-responsive center-block" alt="Possible ways to placing red oblong on a row with length of five units" src="https://cdn.freecodecamp.org/curriculum/project-euler/red-green-or-blue-tiles-1.png" style="background-color: white; padding: 10px;" />
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If green tiles are chosen there are three ways.
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<img class="img-responsive center-block" alt="Possible ways of placing green oblong on a row with length of five units" src="https://cdn.freecodecamp.org/curriculum/project-euler/red-green-or-blue-tiles-2.png" style="background-color: white; padding: 10px;" />
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And if blue tiles are chosen there are two ways.
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<img class="img-responsive center-block" alt="Possible ways of placing blue oblong on a row with length of five units" src="https://cdn.freecodecamp.org/curriculum/project-euler/red-green-or-blue-tiles-3.png" style="background-color: white; padding: 10px;" />
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Assuming that colors cannot be mixed there are 7 + 3 + 2 = 12 ways of replacing the black tiles in a row measuring five units in length. How many different ways can the black tiles in a row measuring fifty units in length be replaced if colors cannot be mixed and at least one colored tile must be used?
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**Note:** This is related to Problem 117.
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# --hints--
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`redGreenBlueOne()` should return `20492570929`.
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```js
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assert.strictEqual(redGreenBlueOne(), 20492570929);
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```
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# --seed--
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## --seed-contents--
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```js
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function redGreenBlueOne() {
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return true;
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}
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redGreenBlueOne();
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```
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# --solutions--
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```js
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// solution required
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```
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