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Q: Mathamatical Permutations and Combinations ( Answered 5 out of 5 stars,   1 Comment )
Question  
Subject: Mathamatical Permutations and Combinations
Category: Science > Math
Asked by: johnmx-ga
List Price: $100.00
Posted: 05 Sep 2003 12:39 PDT
Expires: 05 Oct 2003 12:39 PDT
Question ID: 252671
For a license plate with 7 spaces, list the permutations and
combinations around the 5-character word "aruba"? Examples:
arubaaaa, arubaaab, 123aruba, etc.

This requests a digital file of the alternatives.

Desired Timing: one week
Answer  
Subject: Re: Mathamatical Permutations and Combinations
Answered By: blinkwilliams-ga on 05 Sep 2003 14:56 PDT
Rated:5 out of 5 stars
 
Hi Johnmx

Thanks for the interesting question.  I hope you have 186624 cars in
order to use all these license plates!

I was a bit unclear on whether you wanted permutations with 7 spaces
or permutations with 8 spaces.  You say "7" in your question but your
examples have 8.

I was going to ask for clarification but then I thought, "hey, if I'm
doing one I might as well do the other!"

So both are listed at:
http://www.geocities.com/blink_williams/

There are 36 possible characters for each "wildcard" spot on the
license plate:
1234567890abcdefghijklmnopqrstuvwxyz

A license plate with 7 characters there are three different ways in
which "aruba" can be surrounded by characters (the character 'x'
designates a wildcard spot):

xxaruba
xarubax
arubaxx

For each arrangement there are 36 x 36 possible license plates: 1296

So this means that for a 7 character plate there are 3 x 1296 or 3888
possibilities.

A license plate with 8 characters there are four different ways in
which "aruba" can be surrounded by characters (the character 'x'
designates a wildcard spot):

xxxaruba
xxarubax
xarubaxx
arubaxxx

For each arrangement there are 36 x 36 x 36 possible license plates:
46656

So this means that for a 8 character plate there are 4 x 46656 or
186624 possibilities.

There is some change that my interpretation of your question differs
from what you had in mind.  For example, perhaps you didnt want to
include zero as a possible character.  If this is the case, please
request clarification and I will correct and repost the list of
permutations.  Also request clarification if you would like a
different format for the list of alternatives.

Thanks,

Blinkwilliams

Clarification of Answer by blinkwilliams-ga on 05 Sep 2003 20:53 PDT
In the last paragraph of my answer there is a typo. I write, "There is
some *change* that my interpretation of your question differs...." Of
course what I meant to write was, "There is some *chance* that my
interpretation of your question differs...."

Apologies for any confusion,

-Blinkwilliams

Request for Answer Clarification by johnmx-ga on 05 Oct 2003 15:16 PDT
Blink --

Thank you for your answer.

But the request was for the permutations/combinations themselves.

That's why the examples were given (aruba123, etc)and that's why the
answer was requested in digital form (to cope with the volume of
options).

What shall we do?

JM

Request for Answer Clarification by johnmx-ga on 05 Oct 2003 15:19 PDT
Blink --

An additional point while we sort this out: that's why we articulated
the question as "list the permutations and combinations".

Let's work this out together.

JM

Clarification of Answer by blinkwilliams-ga on 06 Oct 2003 11:50 PDT
Hi Johnmx-

As I note in my original answer, I list actual permutations at:
http://www.geocities.com/blink_williams/ 

Click on that link and you will find two text files containing a list
of the permutations: one is for 7 characters and the other is for 8
characters.  You can either view the text files by clicking on the
link "aruba7.txt" or "aruba8.txt" or you can download the files by
right-clicking on the links and selecting "save target as".  If you
are having any trouble accessing these files please let me know
through the 'request clarification' feature and I will respond
immediately.

If for some reason, I'm still not understanding your request, please
let me know and I'll act immediately to remedy the situation.

Thanks for your patience and do not hestitate to request further
clarification if needed.

All the best,

Blinkwilliams-ga
johnmx-ga rated this answer:5 out of 5 stars
Exceedingly well done. Professional. Good communication, clear. Bravo.

Comments  
Subject: Re: Mathamatical Permutations and Combinations
From: pafalafa-ga on 05 Sep 2003 16:21 PDT
 
Nicely done, Blinkwilliams.

paf

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