Comments on: Website that will create combinations?
http://ask.metafilter.com/56814/Website-that-will-create-combinations/
Comments on Ask MetaFilter post Website that will create combinations?Mon, 12 Feb 2007 06:13:17 -0800Mon, 12 Feb 2007 06:13:17 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Question: Website that will create combinations?
http://ask.metafilter.com/56814/Website-that-will-create-combinations
I'm working on a presentation for a public speaking class, and my chosen topic is group choice. Is there a website (or program) that I could use to generate all possible preference orderings for a specific set of preferences? <br /><br /> Or just numbers in general? It's not central to my presentation, but I'd like to have a slide or two that I could use to demonstrate how many different sets of individual preferences are possible given a certain number of alternatives, in order to explain why group choice is such a difficult and interesting topic. Moreover, I'd rather not go through and do all of the preference orderings/rankings by hand...post:ask.metafilter.com,2007:site.56814Mon, 12 Feb 2007 06:01:29 -0800almostbarefootpreferenceorderingcombinationsBy: demiurge
http://ask.metafilter.com/56814/Website-that-will-create-combinations#854415
I think you're talking about <a href="http://en.wikipedia.org/wiki/Combinatorics">combinatorics</a>.<br>
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If order is important, having 5 people choose 10 things leads to 5<sup>10</sup> different combinations, or 9,765,625.<br>
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This sounds suspiciously similar to what <a href="http://ask.metafilter.com/56687/Balls-in-boxes-algorithm">Davar</a> was trying to do in a previous question.comment:ask.metafilter.com,2007:site.56814-854415Mon, 12 Feb 2007 06:13:17 -0800demiurgeBy: Khalad
http://ask.metafilter.com/56814/Website-that-will-create-combinations#854477
If you're asking, how many different ways can I arrange a set of <i>n</i> items, the answer is <i>n</i>!. So if, for example, you were asked to rank five items from 1 to 5 in order of preference, there would be 5! = 5×4×3×2×1 = 120 ways you could rank those items.<br>
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Factorials become very large very quickly, so showing all possible combinations might be excessive. For example, 10! is 3,628,800.comment:ask.metafilter.com,2007:site.56814-854477Mon, 12 Feb 2007 07:48:55 -0800KhaladBy: Rhomboid
http://ask.metafilter.com/56814/Website-that-will-create-combinations#855242
<a href="http://www.mathsisfun.com/combinatorics/combinations-permutations-calculator.html">Combinations and Permutations Calculator</a>comment:ask.metafilter.com,2007:site.56814-855242Mon, 12 Feb 2007 22:10:13 -0800Rhomboid