# Problem 76: Counting summations

![graphic](img076.gif)

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?