Permutation-Combination question for a Game Design | Mathematics | Page 1

proper yarrow Nov 1, 2022, 5:21 PM

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I am designing a card game inspired by Tetra Master, the card game in Final Fantasy IX. It is a game with a different theme altogether, about causing Stars to go Nova by placing Planets and other Bodies in a way that will cause their Mass Points to exceed or reach critical. The difficulties in design for this game is twofold, one, to determine the Mass Points of every Card, two, the harder one, the lines of influence, what we call the Gravity Lines, showing the lines of interaction with other Cards, on the Star or Planet Card, in a total varying combination of 8 directions. So here is where my question comes in, I am thinking of 20 Asteroid Cards in the game, the special ability of Asteroids is that they can stack on top of each other, with the potential of reaching high combined Mass Points. Here is where this question of permutation and combination comes in, each Asteroid has 3 Gravity Lines, and each set of Gravity Lines have to point in a unique direction combined. Is there a way to compute this?

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<@&798058575313371136>

zealous sierra Nov 1, 2022, 5:31 PM

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<@&798058575313371136>

proper yarrow Nov 1, 2022, 5:32 PM

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thanks

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so does it say for you too, some roles not mentioned?

zealous sierra Nov 1, 2022, 5:34 PM

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Hmmm idk what happened
I will discuss with bot devs

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Help is on its way 👍

proper yarrow Nov 1, 2022, 5:35 PM

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no

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it shows now

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no worries

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I am saying can you see my post which states not mentioned

zealous sierra Nov 1, 2022, 5:35 PM

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Yeah
I will discuss about that

proper yarrow Nov 1, 2022, 5:36 PM

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ok

zealous sierra Nov 1, 2022, 5:36 PM

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If no one comes ping this role in #off-topic and if someone asks tell them A Log said to do it because no one came

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Have a great day 👍

proper yarrow Nov 1, 2022, 5:36 PM

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ok thanks

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isn't Generale French? @zealous sierra

zealous sierra Nov 1, 2022, 5:38 PM

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No 💀💀💀💀

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It's a common misconception

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We just added e for fun

proper yarrow Nov 1, 2022, 5:38 PM

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I tried dictionarying it

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I see

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what's the diff with the other general server

zealous sierra Nov 1, 2022, 5:39 PM

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Uhmmmmm...tbh i have been here for 1 year and still idk.Its like multi topic channel
You can get help or discuss topics in that channel

proven parrot Nov 1, 2022, 5:44 PM

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so the number of different combos of arrows is 8 choose 3 or 56, so if you wanted you could have one of each combonation

proper yarrow Nov 1, 2022, 5:44 PM

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I see

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can you explain in vc?

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so this is a combination question right?

proven parrot Nov 1, 2022, 5:45 PM

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If you reduced directions to 6 then 20 card work

proven parrot Nov 1, 2022, 5:45 PM

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proper yarrow so this is a combination question right?

yes

proper yarrow Nov 1, 2022, 5:45 PM

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hmm

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ok, can you tell me the different unique combinations?

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ok, take it we can orient the cards in any way

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or direction

proven parrot Nov 1, 2022, 5:47 PM

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if there are 8 directions and 3 lines, then to represent each you need 56

proper yarrow Nov 1, 2022, 5:47 PM

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but what if we can orient the cards in four ways?

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and we don't repeat the same combination?

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now it is a permutation question right?

proven parrot Nov 1, 2022, 5:48 PM

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i guess

proper yarrow Nov 1, 2022, 5:48 PM

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so what's the answer?

proven parrot Nov 1, 2022, 5:48 PM

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24 if order matters

proper yarrow Nov 1, 2022, 5:49 PM

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I see

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ok

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how do you know that?

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my maths sucks lol

proven parrot Nov 1, 2022, 5:49 PM

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4 factorial

proper yarrow Nov 1, 2022, 5:49 PM

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4 times 3, times 2, times 1?

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I see

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why 4 factorial though?

proven parrot Nov 1, 2022, 5:51 PM

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oh i may have misunderstood the question

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If there are 8 possible directions and 4 arrows on a card there are 70 possibilities

proper yarrow Nov 1, 2022, 5:52 PM

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3 arrows

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why 70

proven parrot Nov 1, 2022, 5:53 PM

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8 choose 4 is 70, but 4 choose 3 is 4

proper yarrow Nov 1, 2022, 5:57 PM

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I don't understand, why 70? what is the calculation?

proven parrot Nov 1, 2022, 6:01 PM

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8!/((8-4)!-4!)

proper yarrow Nov 1, 2022, 6:03 PM

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choose 3 not 4 though

proper yarrow Nov 1, 2022, 7:08 PM

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@radiant marlin

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@untold peak

untold peak Nov 1, 2022, 7:14 PM

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oh god

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ok

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nevermind lol

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sorry

proper yarrow Nov 1, 2022, 7:16 PM

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why @untold peak?

untold peak Nov 1, 2022, 7:17 PM

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because the problem is wayyyyyyyyyyyyyyyyyyy wayyyyyyyyyy too long

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so the proportion of unnecessary details to math content is very very high

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further more it seems like a (simple) combinatorics problem at first glance

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and it's not a rewarding things to solve

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sorry bro

#Permutation-Combination question for a Game Design