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<blockquote data-quote="Stalker0" data-source="post: 8419182" data-attributes="member: 5889">Unfortunately no that's not correct.Here is another way we could arrange those same cards:33 43 44 (6 7 8)34 34 34 (7 7 7)That's a permutation not a combination, as order does matter. Now you are correct that within our blocks order doesn't matter, so the theoretical number of permutation is smaller, but it still grows very very quickly. And we never really get back down to &quot;combination level&quot;As another example, just take 3 and 4s but now its 12 draws (2 draws per stat x 6 stats)33 33 33 44 44 44 (6 6 6 8 8 8)34 34 33 33 44 44 (7 7 6 6 8 8)Same exact cards just drawn in a slightly different order produces a different stat block. So yes unfortunately the position of the card draws is quite important to what numbers you get. And this problem gets progressively worse when you look at 3 draws per stat and more than 2 types of cards. But even just a 20 card deck where I draw 12 cards from (aka 2 cards x 6 stats), is a 10 to the power of 13 number in terms of permutations (aka 10 trillion)..... far more than most programs can easily calculate (for reference excel only has 17 billion cells, you would need to utilize 588 worksheets all completely filled to the brim to display all of the possibilities). Even if I can cut that by 4 or 6 or heck even 10 by noting certain permutations are &quot;the same&quot;.....I still have a very complex problem to solve.</blockquote>

[QUOTE="Stalker0, post: 8419182, member: 5889"] Unfortunately no that's not correct. Here is another way we could arrange those same cards: 33 43 44 (6 7 8) 34 34 34 (7 7 7) That's a permutation not a combination, as order does matter. Now you are correct that within our blocks order doesn't matter, so the theoretical number of permutation is smaller, but it still grows very very quickly. And we never really get back down to "combination level" As another example, just take 3 and 4s but now its 12 draws (2 draws per stat x 6 stats) 33 33 33 44 44 44 (6 6 6 8 8 8) 34 34 33 33 44 44 (7 7 6 6 8 8) Same exact cards just drawn in a slightly different order produces a different stat block. So yes unfortunately the position of the card draws is quite important to what numbers you get. And this problem gets progressively worse when you look at 3 draws per stat and more than 2 types of cards. But even just a 20 card deck where I draw 12 cards from (aka 2 cards x 6 stats), is a 10 to the power of 13 number in terms of permutations (aka 10 trillion)..... far more than most programs can easily calculate (for reference excel only has 17 billion cells, you would need to utilize 588 worksheets all completely filled to the brim to display all of the possibilities). Even if I can cut that by 4 or 6 or heck even 10 by noting certain permutations are "the same".....I still have a very complex problem to solve. [/QUOTE]

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