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A Quickie, not tricky (Posted on 2015-05-11) Difficulty: 1 of 5
How many ordered sets of positive integers are there if:

1.Their sum is less than 6
2. There are at most 4 addends
3. None of them is composite.

Please specify how quick were you to get the right answer.

No Solution Yet Submitted by Ady TZIDON    
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Possible Solution Comment 7 of 7 |
*****,(****/*),***/**+1,***/*/*+2,**/**/*+2,**/*/*/*+3,(*/*/*/*/*) (12)
(****),***/*+1,**/**+1,**/*/*/+2,*/*/*/* (8)
***,**/*+1, */*/* (4)
**/** (1)
* (1)

So, 26, unless say, (1,(1)), is different from ((1),1), or {} is counted, in which case the answer is 'yes'.

Less than 10 seconds to work out the method, the rest typing this out.


Edited on October 4, 2023, 6:25 am
  Posted by broll on 2023-10-04 06:20:32

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