Dumb Question

Dumb Question

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Anonymous
Dumb Question 2017-08-12 05:13:16 Post No. 9100698
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Dumb Question Anonymous 2017-08-12 05:13:16 Post No. 9100698 [Report]

What's it called when you want to decompose an integer into only 3 numbers that add up to the original?

Some examples include:

6 -> Only 1,2,3

9 has (1,1,7), (1,2,6), (1,3,5), (1,4,4), (2,2,5), (2,3,4), (3,3,3)

pic probably not related

Anonymous 2017-08-12 08:35:45 Post No.9100831
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Anonymous 2017-08-12 08:35:45 Post No.9100831 [Report]

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>>9100698
Partition of a number, N, into exactly 3 parts.

Incidentally the number of ways to do this is the same as the number of partitions of N whose largest part is 3.

Anonymous 2017-08-12 10:32:19 Post No.9100930
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Anonymous 2017-08-12 10:32:19 Post No.9100930 [Report]

>>9100831
>incidentally
Boy you need number theory

Anonymous 2017-08-12 10:56:53 Post No.9100949
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Anonymous 2017-08-12 10:56:53 Post No.9100949 [Report]

Partioning a number n into m parts kan be done in (n-m-1)C(m-1) ways

Anonymous 2017-08-12 11:05:29 Post No.9100956
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Anonymous 2017-08-12 11:05:29 Post No.9100956 [Report]

>>9100930
The picture >>9100831
is proof enough.

>>9100949
That's the answer if the m "parts" are labelled with m different labels.

From OP's example
>6 -> Only 1,2,3
not all 3! permutations (OP is is obviously talking about unlabelled partitions)

Anonymous 2017-08-12 11:11:27 Post No.9100960
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Anonymous 2017-08-12 11:11:27 Post No.9100960 [Report]

>>9100698
6-> (1,2,3), (1,1,4) btw

Anonymous 2017-08-12 03:29:34 Post No.9101291
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Anonymous 2017-08-12 03:29:34 Post No.9101291 [Report]

>>9100960
Shit, I missed that one.

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible. Read more on this topic here - https://archived.moe/talk/thread/1694/

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible.
Read more on this topic here - https://archived.moe/talk/thread/1694/