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Star Wars: X-Wing Miniatures Game» Forums » General

Subject: How many possible combinations? rss

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Ben
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Just out of curiosity, how many possible 100 point squads, for the Empire and the Rebellion respectively, are actually possible? I imagine with so many upgrade, and secondary weapon combinations, the possibilities seem endless, but I imagine there's a finite number.

Maybe to make it simpler, how many ship combinations are there for each faction?

Anybody, who is good at math done the calculations?
 
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Chris K.
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Deep Sleep Operative wrote:
Just out of curiosity, how many possible 100 point squads, for the Empire and the Rebellion respectively, are actually possible? I imagine with so many upgrade, and secondary weapon combinations, the possibilities seem endless, but I imagine there's a finite number.

Maybe to make it simpler, how many ship combinations are there for each faction?

Anybody, who is good at math done the calculations?


The number is finite but very, very large and not calculable with reasonable effort.

Just the X-Wings alone without any upgrades offer dozens of possible combinations if you also count squads that stay just below 100 points.

Multiply that with the possible upgrades that would still fit into most of those combinations and you are already at hundreds of combinations.

Multiply that by the number of ship types and you are already at thousands of combinations.

And if you now count the permutations of the combinations of various ship types you will easily reach hundreds of thousands of combinations if not millions.
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Joseph Woodworth
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ok, so, the number of combinations with repetitions of objects gets fairly huge, so - ignoring upgrades, and looking at rebels...

Lets assume for simplicity that each ship costs 25 points, so we can have exactly 4 ships - This gives us, A,B,X,Y,E wings, Z-95s,Hwks and YT-1300s

That means, we can choose from 8 ship types, and have 4... so..

[(8+4-1)!]/[4!(8-1)!] Which is [11!]/[4!x7!]

39,916,800/(120,960) = 330 combinations

so there's 330 combinations of 4 ships from those 8 with those 8 before you consider varying point costs and the different kinds of pilots involved. --- You're looking at crazy large numbers, especially when you start to take into account the upgrade cards, it is finite, but it's so large that it's really hard to count. - especially when tied to the point mechanic...
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Robert M.
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As has been said already: it's finite but arbitrarily large.

To further illustrate Ravncat's calculation, suppose you've decided on a squad with 4 X-wings, which is just one of his 330 combinations. But there are 10 X-wing pilots, which means there are 210 different combinations of those 4 pilots.

Of course, we can't run all 210 of those combinations; some are too expensive for a 100-point list. Additionally, not all ships have 10 pilots; some have as few as 4. On the other hand, every ship has generic pilots that can be used over and over, which drastically increases the number of possible squads for any given configuration.

But hopefully it's clear that each of those initial 330 has dozens, if not hundreds, of further combinations of pilots--and most combinations of pilots additionally have room for at least a few upgrades. So even a very conservative estimate generates tens of thousands of legal Rebel lists.

We don't have to worry about getting bored, at least. cool
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Vayda
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https://sites.google.com/site/cnjxwing/home
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Yet all we see are XXBB...
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Johannes Haglund
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I did some quick calculations on this. Counting upcoming expansions, a single xwing can have 10 different pilots, 4 of which can use elite pilot talents. According to yet another squad builder, there's 18 EPTs, 3 torpedos, 9 astromechs and 7 modifications usable on an xwing. Add one to each of these for the option to not use an upgrade in this slot, and we get:

(6*4*10*8)+(4*19*4*10*8)

Which equals out to 26240 possible combinations. For one single xwing.
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Ben
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Frankysan wrote:
Which equals out to 26240 possible combinations. For one single xwing.


Dang...
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Johannes Haglund
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Some more quick math (last post was from my phone during a trip).

Adjusting the previous calculation to only count released cards, and we get 6 pilots, 2 of which use EPTs, 14 EPTs, 5 modifications, 6 astromechs, and 2 torpedoes. This gives us:

(4*7*6*3)+(2*15*7*6*3) = 4284 combinations.

A bit lower. But what if we add another ship? Let's add an A-Wing, for example. I chose this ship because the A and the X only share one Unique card, Squad leader.

The A-Wing has 4 pilots, 2 who can use EPTs, and 4 different missiles. This gives us:

(2*5*6)+(2*15*5*6) = 960 combinations.

Again, a bit lower. But if we add these 2 ships together in a squad, and subtract the ones where both have Squad leader (since it's unique and therefore not legal) we get:

((4*7*6*3)+(2*15*7*6*3))*((2*5*6)+(2*15*5*6))-((2*7*6*3)*(2*5*6))

4097520. That's right, over four million combinations. And none of these are more than 86 points, so there's still room to add more ships.
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Ben
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Dang, that's pretty insane. It's probably interesting to think that maybe only 40% percent of all those are considered "playable" But still with all ships, mods, ETP, upgrades, there must be hundreds of thousands (millions?), possible "competitive lists."

Good to know that the game won't ever get boring.
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Joseph Woodworth
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Yeah - x-wing has a very high complexity.

Consider that there are tons of meaningful variations of asteroid placement and starting position - and how that plays out dependant on the pilot skill of your ships....

Just the dice alone mean you could play the exact same starting position and moves, and end up with very different results.
 
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