freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-76-counting-summations.english.md

---
id: 5900f3b81000cf542c50fecb
challengeType: 5
isHidden: false
title: 'Problem 76: Counting summations'
forumTopicId: 302189
---

## Description
<section id='description'>

It is possible to write five as a sum in exactly six different ways:

<div style='margin-left: 4em;'>
  4 + 1<br>
  3 + 2<br>
  3 + 1 + 1<br>
  2 + 2 + 1<br>
  2 + 1 + 1 + 1<br>
  1 + 1 + 1 + 1 + 1<br>
</div>

How many different ways can one hundred be written as a sum of at least two positive integers?

</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>countingSummations()</code> should return a number.
    testString: assert(typeof countingSummations() === 'number');
  - text: <code>countingSummations()</code> should return 190569291.
    testString: assert.strictEqual(countingSummations(), 190569291);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function countingSummations() {
  // Good luck!
  return true;
}

countingSummations();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>