---
id: 5900f3b81000cf542c50fecb
title: 'Problem 76: Counting summations'
challengeType: 5
forumTopicId: 302189
dashedName: problem-76-counting-summations
---
# --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?
# --hints--
`countingSummations()` should return a number.
```js
assert(typeof countingSummations() === 'number');
```
`countingSummations()` should return 190569291.
```js
assert.strictEqual(countingSummations(), 190569291);
```
# --seed--
## --seed-contents--
```js
function countingSummations() {
return true;
}
countingSummations();
```
# --solutions--
```js
// solution required
```