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

 Aug 4, 2022
 #1
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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  !!!)

 

cool cool cool

 Aug 4, 2022

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