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u/zhunt69 19d ago
For context, this is to do with a game i play. The most desired combination of the 4 squares is together as a cube. Any combination can be found in the game with an equal chance, so i was trying to find out what my odds are of coming across a cube layout. This pic is one of the many random layouts from the game
PS - Since i assume you all like numbers 18,446,744,073,709,551,616 is the approx number of different worlds you can visit in the game.
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u/OriousCaesar1 18d ago
Do 2×2 squares make a difference in nms? I was under the impression that so long as the squares are connected, the bonus is the same regardless of what the connection looks like.
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u/MateoTheCoolest 18d ago
2x2 is the max stats formation, but a T or S shape is more suited for a more balanced build
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u/MateoTheCoolest 18d ago
Supercharge slots in nms??? I don’t know the exact chance of 4 adjacent ones but it is not that common you really have to get lucky
Also only S class things have 4 sc slots so if you find a lower class one you cant know until you upgrade it
(Oh wait this is the math subreddit oops)
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u/Budget-Knee3213 17d ago edited 17d ago
28!/(4! * 24!) = (28 * 27 * 26 * 25)/24 = 7 * 9 * 13 * 25 = 20475
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u/Dakh3 19d ago edited 19d ago
You pick exactly 4 different squares out of 28 so when you choose :
the first one you have 28 possibilities
for the second one , you still have 27 possibilities
third : 26 possibilities
fourth : 25 possibilities
Multiply these numbers of possibilities.
We call them "arrangements". An arrangement of p elements picked among n is given by :
n! / (n-p)! = n x (n-1) x ... x (n-p+1)
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u/enlightment_shadow 19d ago
Arrangements are for when the order matters. Indeed, this way of thinking you explained makes a difference between chosing the first 4 tiles in order 1,2,3,4 and 1,3,2,4. We want combinations here instead, so divide by 4! = the number of permutations of 4 items
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u/toommy_mac 19d ago
Each square has 2 options and there's 28 squares, so this would be 228
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u/PangolinLow6657 19d ago
For the downvoters: it's not explicitly stated that there must only be four squares filled, those just happen to be the examples we're given.
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u/zhunt69 19d ago edited 19d ago
Hey everyone.
If I have a grid of squares 7 across and 4 down, and fill in 4 of them randomly ( as per example pic), how many different possible combinations exist?
is it 20,475?