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

 Aug 4, 2022

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


Hit  "Generate"



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


cool cool cool

 Aug 4, 2022

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