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Q: Mathamatical Permutations and Combinations ( Answered ,   1 Comment )
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 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```
 ```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: `Exceedingly well done. Professional. Good communication, clear. Bravo.`
 ```Nicely done, Blinkwilliams. paf```