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Post by Artifact123 on Sept 7, 2010 16:05:20 GMT
Here is a list of all teams:
Boxer Boxer Boxer Boxer
Boxer Boxer Boxer Gladiator
Boxer Boxer Boxer Magician
Boxer Boxer Boxer Sniper
Boxer Boxer Boxer Gunner
Boxer Boxer Boxer Whipper
Boxer Boxer Boxer Priest
The rest is coming later.
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Post by nmagain on Sept 7, 2010 16:09:42 GMT
This is pretty useless,I think.
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Post by Artifact123 on Sept 7, 2010 16:11:27 GMT
That,s the reason i made it. Cause its pointless.
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Post by zelkova on Sept 7, 2010 18:46:35 GMT
B = Boxer
G = Gladiator
S = Sniper
M = Magician
g = Gunner
P = Priest
BBBB
BBBG
BBBS
BBBM
BBBg
BBBW
BBBP
BBGG
BBGS
BBGM
BBGg
BBGW
BBGP
BBSG
BBSS
BBSM
BBSg
BBSW
BBSP
BBMG
BBMS
BBMM
BBMg
BBMW
BBMP
BBgG
BBgS
BBgM
BBgg
BBgW
BBgP
BBWG
BBWS
BBWM
BBWg
BBWW
BBWP
BBPG
BBPS
BBPM
BBPg
BBPW
BBPP
Following this pattern...and just replace the letters with the next one on the next class on the list (for example BBPW would be GGBP) then you will find out that 43 lines x 6 classes would make that 258 possible teams.
This is just for those who honestly wanted an answer.
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Post by Artifact123 on Sept 7, 2010 18:49:17 GMT
Nice system.
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Post by RubiksMaster123 on Sept 7, 2010 19:48:00 GMT
840 possible teams.
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Post by QwertyuiopThePie on Sept 7, 2010 19:59:56 GMT
You've gotta eliminate duplicates. Just use a simple case of 7!. 5040 teams.
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Post by disabled on Sept 7, 2010 20:22:49 GMT
As far as I can tell, there are 210 completely different teams. Those are:
BBBB BBBG BBBS BBBM BBBg BBBP BBBW BBGG BBGS BBGM
BBGg BBGP BBGW BBSS BBSM BBSg BBSP BBSW BBMM BBMg
BBMP BBMW BBgg BBgP BBgW BBPP BBPW BBWW BGGG BGGS
BGGM BGGg BGGP BGGW BGSS BGSM BGSg BGSP BGSW BGMM
BGMg BGMP BGMW BGgg BGgP BGgW BGPP BGPW BGWW BSSS
BSSM BSSg BSSP BSSW BSMM BSMg BSMP BSMW BSgg BSgP
BSgW BSPP BSPW BSWW BMMM BMMg BMMP BMMW BMgg BMgP
BMgW BMPP BMPW BMWW Bggg BggP BggW BgPP BgPW BgWW
BPPP BPPW BPWW BWWW GGGG GGGS GGGM GGGg GGGP GGGW
GGSS GGSM GGSg GGSP GGSW GGMM GGMg GGMP GGMW GGgg
GGgP GGgW GGPP GGPW GGWW GSSS GSSM GSSg GSSP GSSW
GSMM GSMg GSMP GSMW GSgg GSgP GSgW GSPP GSPW GSWW
GMMM GMMg GMMP GMMW GMgg GMgP GMgW GMPP GMPW GMWW
Gggg GggP GggW GgPP GgPW GgWW GPPP GPPW GPWW GWWW
SSSS SSSM SSSg SSSP SSSW SSMM SSMg SSMP SSMW SSgg
SSgP SSgW SSPP SSPW SSWW SMMM SMMg SMMP SMMW SMgg
SMgP SMgW SMPP SMPW SMWW Sggg SggP SggW SgPP SgPW
SgWW SPPP SPPW SPWW SWWW MMMM MMMg MMMP MMMW MMgg
MMgP MMgW MMPP MMPW MMWW Mggg MggP MggW MgPP MgPW
MgWW MPPP MPPW MPWW MWWW gggg gggP gggW ggPP ggPW
ggWW gPPP gPPW gPWW gWWW PPPP PPPW PPWW PWWW WWWW
Though I also carefully choose the position of my team members...
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Post by zelkova on Sept 7, 2010 20:57:36 GMT
As far as I can tell, there are 210 completely different teams. Those are: BBBB BBBG BBBS BBBM BBBg BBBP BBBW BBGG BBGS BBGM BBGg BBGP BBGW BBSS BBSM BBSg BBSP BBSW BBMM BBMg BBMP BBMW BBgg BBgP BBgW BBPP BBPW BBWW BGGG BGGS BGGM BGGg BGGP BGGW BGSS BGSM BGSg BGSP BGSW BGMM BGMg BGMP BGMW BGgg BGgP BGgW BGPP BGPW BGWW BSSS BSSM BSSg BSSP BSSW BSMM BSMg BSMP BSMW BSgg BSgP BSgW BSPP BSPW BSWW BMMM BMMg BMMP BMMW BMgg BMgP BMgW BMPP BMPW BMWW Bggg BggP BggW BgPP BgPW BgWW BPPP BPPW BPWW BWWW GGGG GGGS GGGM GGGg GGGP GGGW GGSS GGSM GGSg GGSP GGSW GGMM GGMg GGMP GGMW GGgg GGgP GGgW GGPP GGPW GGWW GSSS GSSM GSSg GSSP GSSW GSMM GSMg GSMP GSMW GSgg GSgP GSgW GSPP GSPW GSWW GMMM GMMg GMMP GMMW GMgg GMgP GMgW GMPP GMPW GMWW Gggg GggP GggW GgPP GgPW GgWW GPPP GPPW GPWW GWWW SSSS SSSM SSSg SSSP SSSW SSMM SSMg SSMP SSMW SSgg SSgP SSgW SSPP SSPW SSWW SMMM SMMg SMMP SMMW SMgg SMgP SMgW SMPP SMPW SMWW Sggg SggP SggW SgPP SgPW SgWW SPPP SPPW SPWW SWWW MMMM MMMg MMMP MMMW MMgg MMgP MMgW MMPP MMPW MMWW Mggg MggP MggW MgPP MgPW MgWW MPPP MPPW MPWW MWWW gggg gggP gggW ggPP ggPW ggWW gPPP gPPW gPWW gWWW PPPP PPPW PPWW PWWW WWWW Though I also carefully choose the position of my team members... I also was not counting position even though I enjoy making my team with their lineup in mind. How did you get 210 while I got 258? It kinda confusing me. |
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Post by disabled on Sept 7, 2010 21:34:19 GMT
Because I was too lazy to think about it, I just wrote some code to do the work for me: pastebin.com/6ZNgjgeNIMO sometimes its easier not to think... (Still I might of course have a bug in the code) |
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Post by RubiksMaster123 on Sept 7, 2010 21:40:32 GMT
You've gotta eliminate duplicates. Just use a simple case of 7!. 5040 teams. No it's not 7! because you only can pick 4 characters. 7x6x5x4=840 |
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Post by QwertyuiopThePie on Sept 7, 2010 22:20:28 GMT
Oops, my math bad.
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Post by disabled on Sept 7, 2010 22:41:34 GMT
Everyone trying to find a formula to this should test it with simplified settings: 4 Rangers, 2 classes result in 5 different combinations (BBBB BBBG BBGG BGGG GGGG) 2 rangers, 3 classes result in 6 different combinations (BB BG BS GG GS SS) I have the feeling this has something to do with the Pascal triangle. My guess (from numbers I tried) is: For every addional class, I go the triangle one floor down and left. For every additional character, I go one down and right. |
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Post by ganondorfchampin on Sept 7, 2010 22:43:14 GMT
I don't believe it is 840 either as that does not allow multiple uses of a charather.
7*7*7*7>x>7*6*5*4
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Post by zelkova on Sept 8, 2010 2:26:19 GMT
I like the fact that everyone on this board seem to be a math nerd and yet we all somehow got different answers. lol
I still believe my simple written out chart is correct or at least very close to the correct number as Disable code did somewhat agree with it.
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Post by Artifact123 on Sept 8, 2010 6:07:10 GMT
THIS THREAD IS ABOUT SR, NOT ABOUT MATHS!
ALL MATH NERDS GET OUT!
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Post by disabled on Sept 8, 2010 9:52:28 GMT
This thread is about math. You want to know all combinations, so you have to think about all combinations - that is math related.
I don't think 7*6*5*4 is the lower limit, because you didn't eliminate different permutations with that.
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Post by QwertyuiopThePie on Sept 11, 2010 8:40:03 GMT
It DOES relate to Pascal's triangle. This is a combination test (or some people might make it a permutation test), namely, 7 nC r4. This would be the 7th row, and the fourth over, or something like that. This leads to 210. The equation we are looking for is so:  We need Veers to validate. |
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Post by disabled on Sept 11, 2010 9:41:28 GMT
Yay! Finally someone to back up my 210. Given my guess from the pascals triangle, that formula looks pretty good to me.
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Post by Rabidbadger on Sept 11, 2010 10:25:44 GMT
Excuse me for sounding like a simpleton, but what role in the equation do the exclamation marks play?
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Post by disabled on Sept 11, 2010 11:29:25 GMT
Its the faculty. 7! = 7*6*5*4*3*2, 3!= 3*2 and so on: n! = n*(n-1)*(n-2)*...*2
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Post by Rabidbadger on Sept 11, 2010 11:53:58 GMT
Ah. I get it now.
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Post by ganondorfchampin on Sept 15, 2010 20:15:55 GMT
Factorial. Technically N! is 1x1x2x3x4x5.....xN, not 2x3x4...xN, but it really doesn't matter.
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Post by QwertyuiopThePie on Sept 16, 2010 5:42:03 GMT
You've been Nonja'd. Now that this question is solved, shall I qwertylock?
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Post by Elmach on Sept 16, 2010 9:49:08 GMT
Actually, there is a slight difference in gameplay on the ordering of the teams.
If you put the melee in the back and the ranged in the front, it is easier to lose.
Assuming that ordering matters, there are 74 cominations, or 2401 combinations.
Err... The answer for ordering doesn't matter is not 7C4, as you could have repeats of a class.
It doesn't count the GGGG, BBBB, MMMM, gggg, WWWW, MMGG, etc. teams.
I keep thinking that the answer is really obvious.
EDIT:
The answer is 7C4 + 7 (6C2+3) /4C2 + 76C1/4C3 + 7.
I'll do the actual calculation later.
EDIT: That formula was wrong.
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Post by zelkova on Sept 16, 2010 18:39:55 GMT
I have a question somewhat related to this.
In vs mode do the order stay the same or flip when you are the opponent?
If it flip then in the case of vs mode (where the order may cause a huge difference) then it would not matter as much assuming the person is active in vs mode in terms of getting battles and battling himself.
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Post by QwertyuiopThePie on Sept 16, 2010 19:50:52 GMT
That is a good question. Seems worth testing. Anyone have a test account?
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Post by Elmach on Sept 17, 2010 22:50:23 GMT
It's flipped. The enemy character closest to you is the one listed under on the right.
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Post by zelkova on Sept 18, 2010 0:42:39 GMT
It's flipped. The enemy character closest to you is the one listed under on the right. Thanks for the answer. So depending if you are the battling type or you only want people to fight you make order of the group somewhat importation. |
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Post by radiantdarkblaze on Dec 15, 2012 8:03:51 GMT
Now that there's 8 classes, there are 330 possible teams (not counting ordering since a smart player will know which order to put their characters in anyway). Painstakingly did the math out myself and then checked it up against Pascal's Triangle, so I'm pretty darn sure I'm right. Should a ninth class be added, according to Pascal's Triangle, that would bump the possible team number up to 495.
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[M:977802]
