novaBBS - rec.puzzles - Re: cotpi 55 - Partitioning an integer and its double

Re: cotpi 55 - Partitioning an integer and its double

<170dd309-d748-4f2b-b663-5b3457515232n@googlegroups.com>

https://novabbs.com/interests/article-flat.php?id=499&group=rec.puzzles#499

X-Received: by 2002:a05:620a:c9b:b0:6cb:cde2:27b5 with SMTP id q27-20020a05620a0c9b00b006cbcde227b5mr10913086qki.293.1663535355307;
Sun, 18 Sep 2022 14:09:15 -0700 (PDT)
X-Received: by 2002:a0c:ab07:0:b0:474:9c36:413e with SMTP id
h7-20020a0cab07000000b004749c36413emr12508542qvb.56.1663535354517; Sun, 18
Sep 2022 14:09:14 -0700 (PDT)
Path: i2pn2.org!i2pn.org!usenet.blueworldhosting.com!feed1.usenet.blueworldhosting.com!peer02.iad!feed-me.highwinds-media.com!news.highwinds-media.com!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail
Newsgroups: rec.puzzles
Date: Sun, 18 Sep 2022 14:09:14 -0700 (PDT)
In-Reply-To: <jsig5s$qef$1@dont-email.me>
Injection-Info: google-groups.googlegroups.com; posting-host=2601:648:8600:6f70:0:0:0:a597;
posting-account=YjTkGAoAAAA4_fbAISfvtIqrYbghMeBx
NNTP-Posting-Host: 2601:648:8600:6f70:0:0:0:a597
References: <jsig5s$qef$1@dont-email.me>
User-Agent: G2/1.0
MIME-Version: 1.0
Message-ID: <170dd309-d748-4f2b-b663-5b3457515232n@googlegroups.com>
Subject: Re: cotpi 55 - Partitioning an integer and its double
From: henha...@gmail.com (henh...@gmail.com)
Injection-Date: Sun, 18 Sep 2022 21:09:15 +0000
Content-Type: text/plain; charset="UTF-8"
X-Received-Bytes: 2103

by: henh...@gmail.com - Sun, 18 Sep 2022 21:09 UTC

On Thursday, June 28, 2012 at 1:48:00 PM UTC-7, cotpi wrote:
> A partition of a positive integer n is a list of positive
> integers, ordered from largest to smallest, such that the sum of
> the integers in the sequence is n. Each integer in the list is
> called a part.
>
> What is the ratio of the number of possible partitions of a
> positive integer n to the number of possible partitions of 2n
> into n parts?
>
> --
> Originally posted at: http://cotpi.com/p/55/
> Correct solutions will be archived at the URL mentioned above.
>
> Solutions to 'Gambling with a die': http://cotpi.com/p/54/#solutions

> number of possible partitions of 2n into n parts

e.g.
4 into 2 parts ==> (3,1) (2,2)

WRONG> 6 into 2 parts ==> (5,1) (4,2) (3,3) <True but Not relevant to the Prob.

6 into 3 parts ==> (4,1,1) (3,2,1) (2,2,2)

Re: cotpi 55 - Partitioning an integer and its double

<54c1e1be-3713-4482-956a-25167405f3d1n@googlegroups.com>

copy mid

https://novabbs.com/interests/article-flat.php?id=501&group=rec.puzzles#501

copy link Newsgroups: rec.puzzles

X-Received: by 2002:a05:620a:1a0a:b0:6ce:bd2c:d32e with SMTP id bk10-20020a05620a1a0a00b006cebd2cd32emr13670024qkb.756.1663607102309;
Mon, 19 Sep 2022 10:05:02 -0700 (PDT)
X-Received: by 2002:ad4:5d64:0:b0:4ad:8e0:b4d8 with SMTP id
fn4-20020ad45d64000000b004ad08e0b4d8mr15751677qvb.3.1663607101293; Mon, 19
Sep 2022 10:05:01 -0700 (PDT)
Path: i2pn2.org!i2pn.org!usenet.blueworldhosting.com!feed1.usenet.blueworldhosting.com!peer01.iad!feed-me.highwinds-media.com!news.highwinds-media.com!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail
Newsgroups: rec.puzzles
Date: Mon, 19 Sep 2022 10:05:00 -0700 (PDT)
In-Reply-To: <170dd309-d748-4f2b-b663-5b3457515232n@googlegroups.com>
Injection-Info: google-groups.googlegroups.com; posting-host=2601:648:8600:89b0:0:0:0:5daa;
posting-account=YjTkGAoAAAA4_fbAISfvtIqrYbghMeBx
NNTP-Posting-Host: 2601:648:8600:89b0:0:0:0:5daa
References: <jsig5s$qef$1@dont-email.me> <170dd309-d748-4f2b-b663-5b3457515232n@googlegroups.com>
User-Agent: G2/1.0
MIME-Version: 1.0
Message-ID: <54c1e1be-3713-4482-956a-25167405f3d1n@googlegroups.com>
Subject: Re: cotpi 55 - Partitioning an integer and its double
From: henha...@gmail.com (henh...@gmail.com)
Injection-Date: Mon, 19 Sep 2022 17:05:02 +0000
Content-Type: text/plain; charset="UTF-8"
X-Received-Bytes: 2434

by: henh...@gmail.com - Mon, 19 Sep 2022 17:05 UTC

On Sunday, September 18, 2022 at 2:09:16 PM UTC-7, henh...@gmail.com wrote:
> On Thursday, June 28, 2012 at 1:48:00 PM UTC-7, cotpi wrote:
> > A partition of a positive integer n is a list of positive
> > integers, ordered from largest to smallest, such that the sum of
> > the integers in the sequence is n. Each integer in the list is
> > called a part.
> >
> > What is the ratio of the number of possible partitions of a
> > positive integer n to the number of possible partitions of 2n
> > into n parts?
> >
> > --
> > Originally posted at: http://cotpi.com/p/55/
> > Correct solutions will be archived at the URL mentioned above.
> >
> > Solutions to 'Gambling with a die': http://cotpi.com/p/54/#solutions
>
>

this is a NICE problem !

i'll check out his (her) other problems

> > number of possible partitions of 2n into n parts
> e.g.
> 4 into 2 parts ==> (3,1) (2,2)
>
>
> WRONG> 6 into 2 parts ==> (5,1) (4,2) (3,3) <True but Not relevant to the Prob.
>
> 6 into 3 parts ==> (4,1,1) (3,2,1) (2,2,2)

i'd love to see Other problems about Partitions !

One big pile is better than two little piles. -- Arlo Guthrie

interests / rec.puzzles / Re: cotpi 55 - Partitioning an integer and its double

Subject	Author
Re: cotpi 55 - Partitioning an integer and its double	henh...@gmail.com
Re: cotpi 55 - Partitioning an integer and its double	henh...@gmail.com