---
id: 5900f3b81000cf542c50fecb
challengeType: 5
title: 'Problem 76: Counting summations'
forumTopicId: 302189
---
## Description
It is possible to write five as a sum in exactly six different ways:
4 + 1
3 + 2
3 + 1 + 1
2 + 2 + 1
2 + 1 + 1 + 1
1 + 1 + 1 + 1 + 1
How many different ways can one hundred be written as a sum of at least two positive integers?
## Instructions
## Tests
```yml
tests:
- text: countingSummations() should return a number.
testString: assert(typeof countingSummations() === 'number');
- text: countingSummations() should return 190569291.
testString: assert.strictEqual(countingSummations(), 190569291);
```
## Challenge Seed
```js
function countingSummations() {
return true;
}
countingSummations();
```
## Solution
```js
// solution required
```