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Legendary: A Marvel Deck Building Game» Forums » General

Subject: Someone Check My Math rss

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Jason Ritz
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I did this on another forum of BGG, but I thought it warranted posting here as well. With my kid home from school for yet another snow day, I decided to update my math on the total possible set ups for Legendary with all the expansions included. These numbers represent everything we have up through Paint the Town Red, but do not take into account specific pairings of Masterminds and villain groups (I don't usually pay much attention to that). I also used set up math for a 4 player game. Here we go...

A) There are 25 different schemes (or scenarios)
multiply that by
B) The 13 different Masterminds
multiply that by (from here I used a 4 person setup)
C) 15 different possible henchmen groups of two (6 total henchmen)
multiply that by (and from here is where I went to the internet for a little help)
D) 680 different possible villain groups of 3 (17 total villains)
multiply that by
E) 850,668 different possible super hero groups of 5 (42 total heroes)
and if I'm doing my math right, that gets us to

2,819,964,420,000 Trillion possible setups (give or take a few)!

For those wondering about the combination formula I am using for the possible groupings:
C = N!/(N-R)!xR! Where N is the total number possible and R is the size of the group you need. This (supposedly) eliminates any repeated groups.
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Kristopher
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I jotted it down in my Risk campaign book. I always used to do that so I could replay my moments of glory over a glass of brandy in the sleeping quarters. --Arnold J. Rimmer--
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I'd check your math, but my head exploded.

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J Brenner
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That's more than 20...
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J Brenner
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theritzes wrote:
I did this on another forum of BGG, but I thought it warranted posting here as well. With my kid home from school for yet another snow day, I decided to update my math on the total possible set ups for Legendary with all the expansions included. These numbers represent everything we have up through Paint the Town Red, but do not take into account specific pairings of Masterminds and villain groups (I don't usually pay much attention to that). I also used set up math for a 4 player game. Here we go...

A) There are 25 different schemes (or scenarios)
multiply that by
B) The 13 different Masterminds
multiply that by (from here I used a 4 person setup)
C) 15 different possible henchmen groups of two (6 total henchmen)
multiply that by (and from here is where I went to the internet for a little help)
D) 680 different possible villain groups of 3 (17 total villains)
multiply that by
E) 850,668 different possible super hero groups of 5 (42 total heroes)
and if I'm doing my math right, that gets us to

2,819,964,420,000 Trillion possible setups (give or take a few)!

For those wondering about the combination formula I am using for the possible groupings:
C = N!/(N-R)!xR! Where N is the total number possible and R is the size of the group you need. This (supposedly) eliminates any repeated groups.


Even if this is off, I'm staling the stat for a presentation I'm doing.

#trippinmajorballsak!
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Sam Wineinger
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You made it personal. All it did was buy you a little more pain than most.
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That is an impressive number of combinations. That's one of the things my group really enjoys about Legendary; no game feels the same. On a related note, I can't wait to run out and pick up Paint the Town Red and kick some teeth in with Moon Knight.
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Scooter of the Ancients
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The only flaw I see in your math is that Masterminds eat up one potential Henchmen OR Villain Group with the group that they always lead, so that would bring your number of potential combos down.

Still alot of combos.
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Dan Stokes
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I checked the maths, and ignoring the 'always leads' complication mentioned above, the number you got is correct. That's... a big number.
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Itai Rosenbaum
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Assuming an average game of Legendary takes about an hour to play it would take you 321,913,746 years to get through all the possible combinations.

So... time to get cracking.
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aaron Haycraft

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Now do it with some custom sets.
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Jason Ritz
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enigmahfc wrote:
Now do it with some custom sets.


The formula is there in my post. Knock yourself out. HAHA
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Nathan M
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Bearing in mind that some schemes also have limiting requirements that will alter your stat...the calculation is correct. If you extend it to include the number of games for each number of possible players (1-5) the number is approximately 62.4 trillion.
 
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Jason Ritz
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This game should really come with a "badge of accomplishment" for those who play through every card there is to play with. Or maybe a "Challenge Unlocked" t-shirt or something.

I just wrapped up playing with every single card (not the 3 trillion setups). My take aways... still an awesome game! I've got my favorite heros and my favorite challenging master minds. There are certain schemes that standout as well. I may need to take a break from it for a month, but I really enjoy it thoroughly.
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Nicholas Palmer
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The actual math for a four player game comes out to 784,623,959,353 possible setups.

This is accounting for the always leads, plus extra rules from schemes. For anyone who wants to check my math, you can download the excel file I made to figure it out .

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Kristopher
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I jotted it down in my Risk campaign book. I always used to do that so I could replay my moments of glory over a glass of brandy in the sleeping quarters. --Arnold J. Rimmer--
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Wow, I think you guys have too much time on your hands.
 
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Jason Ritz
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Touchfuzzy wrote:
The actual math for a four player game comes out to 784,623,959,353 possible setups.

This is accounting for the always leads, plus extra rules from schemes. For anyone who wants to check my math, you can download the excel file I made to figure it out .



I knew someone out there wouldn't let the "I don't really pay attention to who the mastermind leads" thing happen. Thanks for checking and doing all that.
 
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Nicholas Palmer
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Crap, I was off by 13, I made an error in the excel file

Its actually 784,623,959,340
 
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Robert Clevidence
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Touchfuzzy wrote:
Crap, I was off by 13, I made an error in the excel file

Its actually 784,623,959,340


Yeah, I'm pretty sure everyone here noticed that. We just didn't want to embarrass you by pointing it out. whistle
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Kevin "Coop" Cooper
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Those extra 13 combinations were the difference maker for me... I'm selling the game now!
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