Question 1210232
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As I read this problem, my feeling is that it is illogical.


Indeed, it asks, how many partitions of 17 are there that have at least three parts.


"At least  three parts" includes/allows 3 parts, but then it impose some conditions 
on the fourth part (which may absent).


In Math, it is prohibited to write such a gibberish and then to sell (to position) it as a "problem".


To the author: you may write gibberish, 

- - - - - - - - - - - - - - - but do not forget then to throw it into the garbage bin.


Or hire a special person (like me), who will do it for you.