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Message ID: 359
Date: Mon Aug 16 22:08:18 BST 1999
Author: Fippy Darkpaw
Subject: Re: Combinations for that fishing pole = 1,287 are possible (?)
>From: "Xillitil of Povar" <xillitil@...>
>
>
>oops...yer right...i was doin permutations...shoulda been divide instead o'
>subtract...did it right on the calculator at least :)
>but since we can repeat items, i seem to recall that we don't want
>combinations or permutations...
>any slot could have any of the 13 items, regardless of the other slots, so
>we get the slightly less nice number of 13^8=815,730,721
>or if we assume, as some have suggested, that it worked with the old 4 slot
>toolbox, 13^4=28561 possibilities
>that sound right to those with more recent education or more convenient
>reference materials?
>
>Xillitil/Povar
>
>
>>From: Brian Beagle <beaglescout@...>
>>
>>*digs out the statistics book*
>>"I knew that I kept this thing around for some reason. *grin*
>>
>>They are unorderd (it doesn't matter which slot you place that rat ear
>>at),
>>so, they are combinations. Way to go Xillitil.
>>
>>Formula: nCr = n!/[r!(n-r)!]
>> n = items we have to play with (12 here - we think)
>> r = the set (8 spots in this case)
>>
>>But an empty slot counts as an item too, so we need to count an additional
>>one for our number of items.
>> 13C8 = 13!/[8!(13-8)!]
>> = 6,227,020,800 / [40,320(120)]
>> = 6,227,020,800 / [4,838,400]
>> = 1,287
>>
>>As you can tell, my professors were big fans of 'Show Your Work'. *grins*
>>
>>But, at least it isn't some way the heck out there number - thank
>>goodness.
>>
>>Oh, other factors too, that will decrease our combinations. We know that
>>certain items are not useable. ie. We know it will take more than one
>>metal rod (or any other given item).
>>
>>I'm currently working on all listing all those darn combinations. Eww...
>>
>>It shall be ours soon.
>>
>>Gnish, Mage of Death
>>20th Sacrificial Blade, Bristlebane.
>>
>>
>>
>>
>> > From: M_Bierce@...
>> > Subject: Tinkering of course
>> >
>> > Hello everyone on this list. I'm new to the list, just signed up
>>today.
>> Anyway this is a question for any mathematic wizards out there. We have
>>a total of 8 slots in the toolbox and a total of 12 items to use. Does
>>anyone know how many combinations that we can come up with? Remember that
>>this includes just having 1 item in the box or 2 or 3 etc. etc. Well me
>>personally I would just like to know for curiousity sake. And don't worry
>>you now have another helping hand in the search for the collapsable
>>fishing
>>pole recipie. :)
>> >
>> > Mike
>> > P.S. If we do find it imagine how much it can sell for. :) $$$$$$$$
>> >
>> > From: "Xillitil of Povar" <xillitil@...>
>> > Subject: Re: Tinkering of course
>> >
>> > uhh...if i remember my math right,8 slots and 13 items(including empty)
>> > should be 13! - 5!...ummm...51,891,840 combinations...or is that
>> > permutations...and thats assuming we don't use anything less obvious
>>like
>> > skins or something...
>> >
>> > guess we won't be doing an exhaustive search anytime soon....
>> >
>> > Xillitil/Povar