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12/8/2007 5:00:53 AM
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Bungie asked, I answered. Total possible number of armor combinations.
I made this once, but I made some major mistakes. This time, though I made a working formula. If you have any questions (besides "why you make my head asplode") pm me. The important numbers are at the bottom in bold. And, Bungie, can I has arbiter for all the work I did?
Here are the answers to this insanely long math problem
[b] [SPARTAN]
19,203,609,600,000,000 [for normal players]
31,531,991,040,000,000 [for Recon players]
35,473,489,920,000,000 [for bungie employees]
[Elite]
3,499,200,000,000,000[for everyone] [/b]
So, let's start out with the everyday player. His name is Bob. Bob has unlocked all the SPARTAN and Elite armor permutations, and is now customizing with extreme randomness. Not random enough, though, because people have been telling Bob to stop copying their armor. Now Bob is wondering how many ways there are to customize his armor. Lets separate this into catagories, shall we?
(Armor permutations only)
Let us assume that Player (Bob) has every armor, excluding the Recon armor, and the Flaming Helmet Chestplate.
Numbe of armor parts available to Bob:
Helmets: 10
Chestplates: 7
LShoulders: 7
Rshoulders: 7
10x7x7x7=3430
But Bob is not satisfied. Someone says they stole their armor color. Time to add in some more variables, Bob.
(Armor permutaions and colors)
There are thirty colors each, and three different places to color, making it 30 cubed, or 30x30x30, which equals 27000
So, now bob has 3430x27000, which equals 92,610,000 . Happy yet Bob? No? Someone ranting about your symbol?
(Armor permutations, armor colors, symbols and symbol colors)
there are 80 symbols, twice that if you toggle.
There are 48 backgrounds.
there are again, three ways to color them, Primary, secondary and background.
so the math comes to be
92,610,000x160x48x27,000=19,203,609,600,000,000. How about now, Bob? What? Bungie has seen fit to give you Recon for [insert really cool thing here]?
Well now, we need to start back at the begining, but to make it easy, we will take out the armor and hold onto the whatever is left over for the next step.
(Armor permutations [+Recon], armor colors, symbols and symbol colors)
first we divide that REALLY big number above be the amount of armor available to the normal player.
19,203,609,600,000,000/3430=5,598,720,000,000
Now, we find out how Recon has changed the numbers for armor permutations.
Helmets: 11
Chestplates: 8
LShoulders: 8
Rshoulders: 8
so now we have:
11x8x8x8=5632
now, we multiply the new armor numbers by that other BIg number.
5,598,720,000,000x5632=31,531,991,040,000,000
So, Bob, are we done here? What? In the time it's taken me to do this, you got HIRED by bungie, and now you have the flaming helmet chestplate?
well, this changes everything.
(Armor permutations [+Recon][+FHC], armor colors, symbols and symbol colors)
There was another tossup in the armor numbers, so we will use the new numbers here.
Helmets: 11
Chestplates: 9
LShoulders: 8
Rshoulders: 8
now we have 11x9x8x8=6336
now we multiply that by that second big number I mentioned.
5,598,720,000,000x6336=35,473,489,920,000,000
But Bob still has a question. What about the Elites, you ask?
[Elite]
Helmets: 5
Chestplates: 5
LShoulders: 5
Rshoulders: 5
Primary Armor Colors: 30
Secondary Armor Colors: 30
Armor Detail Colors: 30
Symbols: 160
Symbol Backgrounds: 48
Primary Symbol Colors: 30
Secondary Symbol Colors: 30
Symbol Background Colors: 30
625x5598720000000=3499200000000000
Bob is finally happy. He knows now that his armor choices are unique, no matter what anyboby else says. Bye for now, Bob. If you ever have anymore mathmatical questions like this one, don't hesitate to ask.
------------------------------------------------------------------------
In conclusion
[b] [SPARTAN]
19,203,609,600,000,000 [for normal players]
31,531,991,040,000,000 [for Recon players]
35,473,489,920,000,000 [for bungie employees]
[Elite]
3,499,200,000,000,000[for everyone] [/b]
Yes, the Elites do get a raw deal.
I would like to thank R4Z0RS 3DG3 and Marinade for pointing many errors in calculation. It is thanks to them that these are correct at all.
[Edited on 12.13.2007 7:27 PM PST]
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are the numbers saying how many possible combinations there are for armor permutations [Edited on 02.05.2008 6:19 PM PST]
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Thanks!
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Then again, it also shows how many people out there have the same tastes in armor if there's problems with copying. Either that or they're just immature.
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It's the first time I have looked at this post and I must admit the amount of combinations surprised me, just goes to show you that we could all be unique.
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anyone else notice he missed the katana?
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It's googol. Throwin it out there...
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If Elites had more armour I'd gladly go Elite :( Hey, has anyone asked why Spartans get more of a choice with armour than Elites do? Nice number crunching too o_o
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Thats just insane ... I mean, you have over 22 trillion ways to customize your model (assuming that you are a casual gamer).... Holy Shi-
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[quote][b]Posted by:[/b] Silly Grunt156 i cant count that high[/quote] lol this made me laugh
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[quote][b]Posted by:[/b] reptile1892 Just one more reason I am afraid of math.[/quote] Pretty much.
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My head didn't asplode. (:
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35 quadrillion for bungie. lol
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wow. good work... i hope you had the luxury of a calculator for all of that.
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Either way, almost everyone uses the Hayubusa armor...
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Man, Elites get knocked way down from Spartans.
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Damn.
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Dude. The fact that you actually did that is both amazing, and horrifying.
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Too...much...math....
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[quote][b]Posted by:[/b] Halen2020 I made this once, but I made some major mistakes. This time, though I made a working formula. If you have any questions (besides "why you make my head asplode") pm me. The important numbers are at the bottom in bold. And, Bungie, can I has arbiter for all the work I did? Here are the answers to this insanely long math problem [b] [SPARTAN] 19,203,609,600,000,000 [for normal players] 31,531,991,040,000,000 [for Recon players] 35,473,489,920,000,000 [for bungie employees] [Elite] 3,499,200,000,000,000[for everyone] [/b] So, let's start out with the everyday player. His name is Bob. Bob has unlocked all the SPARTAN and Elite armor permutations, and is now customizing with extreme randomness. Not random enough, though, because people have been telling Bob to stop copying their armor. Now Bob is wondering how many ways there are to customize his armor. Lets separate this into catagories, shall we? (Armor permutations only) Let us assume that Player (Bob) has every armor, excluding the Recon armor, and the Flaming Helmet Chestplate. Numbe of armor parts available to Bob: Helmets: 10 Chestplates: 7 LShoulders: 7 Rshoulders: 7 10x7x7x7=3430 But Bob is not satisfied. Someone says they stole their armor color. Time to add in some more variables, Bob. (Armor permutaions and colors) There are thirty colors each, and three different places to color, making it 30 cubed, or 30x30x30, which equals 27000 So, now bob has 3430x27000, which equals 92,610,000 . Happy yet Bob? No? Someone ranting about your symbol? (Armor permutations, armor colors, symbols and symbol colors) there are 80 symbols, twice that if you toggle. There are 48 backgrounds. there are again, three ways to color them, Primary, secondary and background. so the math comes to be 92,610,000x160x48x27,000=19,203,609,600,000,000. How about now, Bob? What? Bungie has seen fit to give you Recon for [insert really cool thing here]? Well now, we need to start back at the begining, but to make it easy, we will take out the armor and hold onto the whatever is left over for the next step. (Armor permutations [+Recon], armor colors, symbols and symbol colors) first we divide that REALLY big number above be the amount of armor available to the normal player. 19,203,609,600,000,000/3430=5,598,720,000,000 Now, we find out how Recon has changed the numbers for armor permutations. Helmets: 11 Chestplates: 8 LShoulders: 8 Rshoulders: 8 so now we have: 11x8x8x8=5632 now, we multiply the new armor numbers by that other BIg number. 5,598,720,000,000x5632=31,531,991,040,000,000 So, Bob, are we done here? What? In the time it's taken me to do this, you got HIRED by bungie, and now you have the flaming helmet chestplate? well, this changes everything. (Armor permutations [+Recon][+FHC], armor colors, symbols and symbol colors) There was another tossup in the armor numbers, so we will use the new numbers here. Helmets: 11 Chestplates: 9 LShoulders: 8 Rshoulders: 8 now we have 11x9x8x8=6336 now we multiply that by that second big number I mentioned. 5,598,720,000,000x6336=35,473,489,920,000,000 But Bob still has a question. What about the Elites, you ask? [Elite] Helmets: 5 Chestplates: 5 LShoulders: 5 Rshoulders: 5 Primary Armor Colors: 30 Secondary Armor Colors: 30 Armor Detail Colors: 30 Symbols: 160 Symbol Backgrounds: 48 Primary Symbol Colors: 30 Secondary Symbol Colors: 30 Symbol Background Colors: 30 625x5598720000000=3499200000000000 Bob is finally happy. He knows now that his armor choices are unique, no matter what anyboby else says. Bye for now, Bob. If you ever have anymore mathmatical questions like this one, don't hesitate to ask. ------------------------------------------------------------------------ In conclusion [b] [SPARTAN] 19,203,609,600,000,000 [for normal players] 31,531,991,040,000,000 [for Recon players] 35,473,489,920,000,000 [for bungie employees] [Elite] 3,499,200,000,000,000[for everyone] [/b] Yes, the Elites do get a raw deal. I would like to thank R4Z0RS 3DG3 and Marinade for pointing many errors in calculation. It is thanks to them that these are correct at all.[/quote] ahahah you made me laugh with all the bob stuff, and great work(though i have no idea if its accurate or not cause i dont want to take the time to check) bungie should give you a medal [Edited on 12.13.2007 8:18 PM PST]
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[quote][b]Posted by:[/b] Tacky This is not hard math, it is simple permutations and combinations. If you want to take a look at my math homework and help me pm me, that's hard math :)[/quote] agreed. after calc 1 and 2, this stuff is cake. glad to see youre keeping this alive halen. how ya been man?
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This is not hard math, it is simple permutations and combinations. If you want to take a look at my math homework and help me pm me, that's hard math :)
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[quote][b]Posted by:[/b] MrUncool There is one minor problem. Some stuff is way more popular than others...for instance, the color STEEL is all over the place and so is HAYABUSA....this would only be true if it was completely random; too bad you get to choose.[/quote] those are the possibilites, not the actual statistics. bob wanted to find out how many combinations there were if he randomly designed his armor, and he got that big number
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HOLY MATH!
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... Um no offense but it seems you went through to much trouble just to prove a point... and at the moment a have a very bad head cold... my eyes hurt so freakin bad after reading that they feel like theyre bleeding
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Again nice work mate. Bloody hell, the numbers are insane...
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Wouldnt think a number could go that big...i lern something new evrry day i spose
