Mathematical Permutations and derangements

Discussion of anything you like. Sport, stamps, politics, religion, weather, world disasters, news articles - whatever. Things generally NOT stamp related belong in here. Please keep it CIVIL and polite though! We encourage lively discussion on all things.

Moderators: gmoney, Volunteer Moderator Team

User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Hooray!

baced [26, 0]
/RogerE :D
.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Two days later, with an exciting development just around the corner...

badce [27, 0]
/RogerE :D
.
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

badec [28,1]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Hooray! Thank you MrSamoa :D

baecd [29, 2]
/RogerE :D
.
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

baedc [30, 3]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Despite dismissive remarks in a few early posts, this thread has some subtleties to be managed carefully.
MrSamoa, you didn't notice that 'd' is in its proper place in your latest permutation, so it should be

baedc [30, 2]
Next we have

bcade [31, 2]
.

/RogerE :D
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

bcdae [32, 2]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
Arakan
2500 Stampboards Post - Senior Guru
2500 Stampboards Post - Senior Guru
Posts: 3096
Joined: 28 Sep 2011 12:22
Location: Cypress, TX, USA

Re: Mathematical Permutations and derangements

Post by Arakan »

We hit the 3rd derangement in the 33rd permutation.

bcdea [33, 3]
Visit my pictorial cancellation website: http://pcancels.wordpress.com
I Collect Permanent/Scenic pictorial cancellations, China, Taiwan, Japan, Art, Buddhism, Flowers, Fruits, Food/Gastronomy, Mathematics, Scenic Landscape/Landmark, UNESCO World Heritage.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Ohh! Skipped one! Catch up:
AddSpace]
bcade [31, 2]
bcaed [32, 3]
bcdae [33, 3]
bcdea [34, 4]
.

/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

bcead [35, 5]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

:D

bceda [36, 5]
.

/RogerE :D

Footnote: It is simple to predict that the number of permutations of {a, b, c, d, e} is 5! = 5x4x3x2x1 = 120,
but it's not so easy to predict haw many of those permutations are derangements. What is your guess/estimate?
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


bdace [37, 5]
.

/RogerE :D
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


bdaec [38, 6]
.

/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

bdcae [38, 7]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
Arakan
2500 Stampboards Post - Senior Guru
2500 Stampboards Post - Senior Guru
Posts: 3096
Joined: 28 Sep 2011 12:22
Location: Cypress, TX, USA

Re: Mathematical Permutations and derangements

Post by Arakan »

bdcea [39, 7]
Visit my pictorial cancellation website: http://pcancels.wordpress.com
I Collect Permanent/Scenic pictorial cancellations, China, Taiwan, Japan, Art, Buddhism, Flowers, Fruits, Food/Gastronomy, Mathematics, Scenic Landscape/Landmark, UNESCO World Heritage.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Hmmm, this thread is still proving to be a bit tricky.

After [38, 6], the latest two listed permutations are correct, but their numbering needs to be tweaked.
I hope my fellow contributors won't mind if I fix the numbering, and will persevere.

So here again are those permutations, with their tweaked numbering, followed by my next contribution to the sequence:

bdcae [39, 6]
bdcea [40, 6]
bdeac [41, 7]
.
After that, the next permutation is also the next derangement.

/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

bdeca [42, 8]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Bravo! :D



beacd [43, 9]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

beadc [44, 9]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

becad [45, 9]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Now we're cooking!


becda [46, 9]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

bedac [47, 10]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


bedca [48, 11]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

cabde [49, 11]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

cabed [50, 12]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
Arakan
2500 Stampboards Post - Senior Guru
2500 Stampboards Post - Senior Guru
Posts: 3096
Joined: 28 Sep 2011 12:22
Location: Cypress, TX, USA

Re: Mathematical Permutations and derangements

Post by Arakan »

cadbe [51, 12]
Visit my pictorial cancellation website: http://pcancels.wordpress.com
I Collect Permanent/Scenic pictorial cancellations, China, Taiwan, Japan, Art, Buddhism, Flowers, Fruits, Food/Gastronomy, Mathematics, Scenic Landscape/Landmark, UNESCO World Heritage.
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

cadeb [52, 13]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

:D

caebd [53, 14]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

caedb [54, 14]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
Arakan
2500 Stampboards Post - Senior Guru
2500 Stampboards Post - Senior Guru
Posts: 3096
Joined: 28 Sep 2011 12:22
Location: Cypress, TX, USA

Re: Mathematical Permutations and derangements

Post by Arakan »

cbade [55, 14]
Visit my pictorial cancellation website: http://pcancels.wordpress.com
I Collect Permanent/Scenic pictorial cancellations, China, Taiwan, Japan, Art, Buddhism, Flowers, Fruits, Food/Gastronomy, Mathematics, Scenic Landscape/Landmark, UNESCO World Heritage.
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

cbdae [56, 14]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

Hmmm, that skipped this permutation:

cbaed [56, 14]
.
That's followed by the permutation noted by Wolfgang:

cbdae [57, 14]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

Sorry for my fault!
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

...said the tennis star to his opponent.
"Never mind", cried the umpire, "play on".


cbdea [58, 14]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

cbead [59, 14]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

cbeda [60, 14]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


cdabe [61, 14]
.
/RogerE :D
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

cdaeb [62, 15]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


cdbae [63, 15]
.
/RogerE :D
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

cdbea [64, 16]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
Arakan
2500 Stampboards Post - Senior Guru
2500 Stampboards Post - Senior Guru
Posts: 3096
Joined: 28 Sep 2011 12:22
Location: Cypress, TX, USA

Re: Mathematical Permutations and derangements

Post by Arakan »

cdeab [65, 17]
Visit my pictorial cancellation website: http://pcancels.wordpress.com
I Collect Permanent/Scenic pictorial cancellations, China, Taiwan, Japan, Art, Buddhism, Flowers, Fruits, Food/Gastronomy, Mathematics, Scenic Landscape/Landmark, UNESCO World Heritage.
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

cdeba [66, 18]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


ceabd [67, 19]
.
/RogerE :D
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

ceadb [68, 19]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


cebad [69, 20]
.
/RogerE :D
User avatar
MrSamoa
Stampboards Multi **MILLIONAIRE!**
Stampboards Multi **MILLIONAIRE!**
Posts: 2317463
Joined: 05 Nov 2009 06:32
Location: Outside of New York City, USA
Contact:

Re: Mathematical Permutations and derangements

Post by MrSamoa »

cebda [70,20]
Fellowship of Samoa Specialists is not just for specialists: http://www.samoaexpress.org - Marty
User avatar
Wolfgang
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 41487
Joined: 25 Dec 2007 07:09
Location: Bavaria - Germany
Contact:

Re: Mathematical Permutations and derangements

Post by Wolfgang »

cedab [71,21]
Papua New Guinea stamps and postal history: www.i-ng.org/en
I am always interested in buying commercial mail from PNG.
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »


cedba [72, 22]
.
/RogerE :D

... and then
User avatar
Frank_King
RED Shooting Star Posting LEGEND!
RED Shooting Star Posting LEGEND!
Posts: 1259
Joined: 14 Mar 2011 04:36
Location: Vancouver, Canada

Re: Mathematical Permutations and derangements

Post by Frank_King »

dabce [73,22]
User avatar
RogerE
WINNER! Stampboards Poster Of The Month
WINNER! Stampboards Poster Of The Month
Posts: 54459
Joined: 08 Apr 2019 18:56
Location: WALLSEND, NSW, Australia

Re: Mathematical Permutations and derangements

Post by RogerE »

:D

dabec [74, 23]
.
/RogerE :D
Post Reply

Return to “'The Water Cooler' - A relaxing and FUN place to let off some steam ......”

Who is online

Users browsing this forum: GYDAM and 2 guests