## Counting summations

### Problem 76

Published on Friday, 13th August 2004, 06:00 pm; Solved by 18719; Difficulty rating: 10%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?