In how many ways can 100 be written as the sum of three different positive integers?

Derekshackk Aug 4, 2022

#1**+1 **

There may be some mathematical way of doing this....I just don't know the generating "formula"

Here is a website that generates the desired partitions of 100 by summing 3 different integers :

https://www.dcode.fr/partitions-generator

Integer number N = 100

Under partition size:

Specify M numbers in the box (we want 3)

Under Decomposition Content :

Check Integer numbers from 1 to N box

Check Only partitions without duplicates box

Hit "Generate"

There are quite a few ways (784 to be exact !!!)

CPhill Aug 4, 2022