In how many ways can 100 be written as the sum of three different positive integers?
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 :
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
There are quite a few ways (784 to be exact !!!)