YES I WAS JUST HOPING FOR MORE CONTENT OF THIS CHARACTER

This mod is such a KZfaq, genuinely. And even though chat can sometimes be kinda KZfaq, frost always treats them well, because he is truly KZfaq. EDIT: sorry guys I didn’t mean it, chat really is KZfaq, they add a lot to Frosts already KZfaq content.

The equation for combinations, which eliminates redundancies e.g. AB = BA, is nCr = n! / r! * (n-r)! Where n is the number of options and r is how many you pick. So 71!/7!*(71-7)!. This reduces to (71*70*69*68*67*66*65)/(7*6*5*4*3*2*1) for a total of over 1.3 billion distinct combinations

There is a combination calculator online that lets you choose if order matters, if items can repeat and if there is duplicate items. "When choosing 6 balls out of 70 (7 pack out of 71 though the core pack is always chosen) where order does not matter and without repetitions: 131,115,984" To make clear that this is not the number where order does matter that number is: 94,403,509,199

Honestly, I tried modding the game for the first time after seeing your previous video and after having a Sealed Sword run as my very first, I knew this was going to be an absolute banger. Keep up the content from it, this mod has near limitless potential and I'm looking forward to seeing all of it eventually.

The Packmaster is an amazing exercise in discovering emergent synergies/gameplay. It’s really interesting how disparate packs work together in spite of not being designed to synergize.

Tired: Most people don't use math after they get out of high school. Wired: Use math to win arguments on the internet.

This looks like such an awesome mod. 2000+ combinations of packs, for a MOD! Insane, thanks for pushing this out there

49:00 "Uh, upgrade me" THE TRUEST

The answer to the math equation is pretty simple, I have about the exact subject in school at the moment, I’m danish the formula to use is called: Binomialkoefficienter, and if you use it you will get the answer to be 1329890705 combinations, it might sound like a lot, but with 71 packs and 7 different spots, and when the order doesn’t matter, it becomes that high.

Been playing this character. It's so cool. Some packs are OP af but its relatively well balanced

Farmer cards interact with card types, not pack types. IE: skill, attack, power, status, curse, etc. this is also why fertilizers are statuses! Hope that clarifies things

Is it bad that my first thought when he said “bottle me” was a c*m jar joke? I don’t laugh out loud often by my lord that was funny 🤣

That crystal card where it "randomly" manifests 2 orbs literally always gave a wanderbot orb and then a full or crescent moon

Ahh combinatorics math. I will try to explain it for anyone unfamiliar, there are 3 main ways to compute combinatorics: variation, combination and permutation. Variations are arrangements of selections of objects, where the order of the selected objects matters. Combinations are selections of objects, with or without repetition, the order does not matter. Permutations are arrangements of objects (with or without repetition), the order does matter. A permutation P(n) is just the factorial of a number, so for example permutation of 5 (or in math terms P(5)) is just 5! = 1*2*3*4*5 A variation V(n,k) is like a more stripped down permutation where you for example are looking in all the ways that you can split 3 slices of pizza between 5 people, where you are interested in who gets which slice. In this example We would write it as V(5,3) = (5*4*3*2*1)/(3*2*1) [but if you are a smart cookie you can see that you can just write the *k*th term of your number series n] which is just 5*4 = 20 A combination C(n,k) is a form of variation in which we do not care about the order of things and we exclude any repeating. C(n,k) = V(n,k)/P(k). Keep in mind that combinations, variations and permutations can get way out of hand even with just double digit numbers plugged into them, but they have been used to make great things happen. A great example of how wild numbers can get is with the question of how many different ways we can have 6 Packs of 70 with The Packmaster. This is strictly a combination because the order of choosing Packs doesn't matter and we cannot have any repeats and it goes like this: C(70,6) = V(70,6)/P(6) = (70*69*68*67*66*65)/(6*5*4*3*2*1) Final answer for how many different combinations of Packs we can get (at least for now) is: *786,695,910* As I said, combinatorics get way out of hand super quickly. tl;dr A math nerd explains combinatorics and figures out how many different combinations of Packs you can get. edit: misunderstood how many packs there are and how many you chose from at the start of a run

This mod is incredible--2nd best spire mod behind only the googly eyes mod.

I hate when no face cam, cuz then I have to actually pay attention to the game, and IDK how to react if Frost doesnt prompt me with his expressions

I love when Professor Frost talks about Math

I wanna see Frost revisiting the Replay the Spire Mod so he can find out for himself the joy that is "The Works" on the Silent.

Imma be annoying for a sec. (Scroll past if you have ptsd from math class) There are 71 Packs but one is the core set that is always included, so there are 70 packs that fill 6 slots. If the order mattered it would be 70! / 64!, but the order doesn't matter. This however is still useful, as now we only have to find out how man different ways you can order a set of 6 different items, which is 6!. So if we do 70! / 64! / 6! we will have removed every permutation of every set of 6 possible aka we have a final solution, which is 131,115,985. When using google with the search term "possible combinations if order doesn't matter" I get the same result. Now google might be wrong, but since it aligns with the way i arrived at through logic (and that i can explain quite well), i'll let my confirmation bias take over and say this is the right way. :^) EDIT: so lets just say there are more combinations than most people will ever play, even if there are only the 5040 the one dude said.

I just want to watch slay the streamer of this character eventually where frost picks from 3 for all his packs and does sealed deck, then everyone tries to kill him with bad card choices. It could be interesting.

Tried this mod and got so far thanks to Frost Prime! It’s truly awesome to see it.

I tried the mod after you first streamed it and HOLY… haven’t felt this excited to play more sts

Packmaster is a total KZfaq. Thanks for showing off such cool mods Frost!

That life sized Dany DeVito in the background seems like it has quite a story

This is peak entertainment - keep it up :) much love

Fell in love with the character after seeing the Marisa pack, can’t wait to see more!

Yoooo we win these, glad you had fun with my pack

Claw pack is actually OP. Can't wait to see you play it

Really enjoying this character. Hopefully much more content to come. Always do what you want to do though, dont feel forced to keep playing if you aren't enjoying it though. We come for the good feels regardless of what game

This mod is so pog. Been playing it even though I'm garbage at it. Thanks for the pogs Frost, chat, and KZfaq.

If you play as Snecko from the downfall mod with the packmaster mod installed you can get the packmaster as an option during setup and have access to ALL of his cards from EVERY pack. Might make a cool video 👀

I've downloaded the mod and did a few runs. It's been very fun! I have to say I've found the Transmutation pack overpowered, it has carried both of the runs I've had with it on its own. Even more interesting synergies between packs than I was expecting.

1:21:00 yeah I'm pretty sure it's because you have combinations and not permutations, so you essentially ignore combinations of packs where they're the same but were picked in a different order. It's confusing probability and statistics stuff, but it's not in the billions of possibilities haha.

I was playing last night and also had a run with multiple Frost Prime powers. It is such a good card, even if its a little slow to start

Honestly, i think distortion is gonna be one of my favourite packs, i just really dig the vibe.

It is literally definitely in the millions for combinations.

I did the math, and the number of combinations (order doesn’t matter by definition) is large enough that the only realistic way to get the same combination of 3 packs twice is if you use a set seed, and even then I am not certain about that one. Yes it’s not endless, but repeat combinations aren’t going to naturally occur unless you sink like 100’s, maybe even 1000’s, of hours into the mod

Alignment and Flow is the OP combo I found with this character

I’m loving this mod it looks so cool! And loving the content frost ❤

That is one cozy chair to answer for...

The hopes of a Frost vs Tricky Slay the Streamer match lives on… in my heart.

Oh man I cant wait to see more of this. Also I dont know how you do it but how do you play Runic Pyramid with a 20+ deck hahaha.

Greatly enjoyed this, thank you :3

"Destiny draw!!' "BEANS!" I love this channel.

You can do some silly stuff with packmaster. In the Smithy pack there's a card that upgrades other card in hand, and it can upgrade multiple times, even if the card that you're upgrading is alrrsdy upgraded. If you have multiple of them, you can upgrade your upgrade card. With some "create a copy of card in hand" shenanigans I managed to make a card that's says "upgrade targed card in hand 15 times"

I returned to Slay The Spire & beat the game 4 times due to this mod, Mcthank you. Also yes, your card is poggers.

Love your content and loved playing the mod myself!

Andrew CRANKIN out that content, A+

Man around 45:33 frost admits his love for basting turkeys

This mod's creators are all such youtubes, their work is increadible!

I only play on my switch so no mods. This mod looks really good and clever because it's modular. Like any random modder could make a pack of cards of their own and add it to Nexus or wherever.

h*ll yeah, was really hoping to have more packmaster content. if you could just weave new packmaster runs in once a week for a while i think that would be great to keep content fresh

This mod truly is a youtube

Frost is so KZfaq he navigates this mod so well

Frost probs isn’t taking pack combination suggestions from utube but for everyone else: Shaman, Distortion, Conjour Petra and Chilling Bite as 4 of your pack gives a crazy debuff build that pops off when you get that power that deal damage when you inflict a debuff (Sadisdic Nature?)

This mod is incredible, Just pulled off a run with infinites thanks to cthulus madness theme and Quantas manaburst reducing two of them each to zero cost and looping them

Now for my non-math comment. Frost I'm absolutely loving this content. I'm really wanting to see the rest of the ascension climb with this character, and it's motivating me to get better at the game. I'd like to ask, could you give us some tips on general deck building? I know that you can't rely on any single archetype unless you get nasty lucky on a run, but what should I look for in general when building? For example, I often find myself having great damage, but never blocking for enough. Or I find myself having great defense, but my damage lacks to the point that the moment I hit a scaling fight, it's over for me. Much love, many waffles.

I’m 100% playing this mod when my laptop decides it wants to work with me

frosts card unironically carried my run yesterday thanks bud

Ah, such a KZfaq, brings a tear

I am currently playing with it after not playing StS for years. It's fun. Thanks for showing it off. NO Thanks for getting Vo Do nerfed. The Strength Debuff is now only single-target.

Actually such a KZfaq pack, it’s so goated

Honestly sketchy salesman music kinda dubious

i love the pacmaster so much, would love to see more content on him, um, peglin poglin

I've been having so much fun with packmaster This class is probably gonna fuel the game for the next couple years for me

Dude tried the mod. That Transmute is insane.

Packmaster is now officially my highest Ascension character. It's just so much fun!

So I know that you have devs looking in the comments. I'm having a little issue with the creativity and anomaly card packs. If a creative strike+ from creativity pack creates an eternal strike from the anomaly pack, the eternal strike will cost 0 and exhaust on play But the copy created by eternal strike copies the modified cost, creating an infinite damage loop. It doesn't feel healthy to one-shot the giant head with 1 card in your opening hand.

Love the content hoping to see more

Frost is a total KZfaq for this

I am a certified math and the hypotenuse of jail is Frosty Jars. But honestly, runs will go a bit quicker after you and chat recognize cards.

71 different packs? thats like... DOZENS of combinations

the formula for an unordered subset of selected object should be: a - total number of packs b - number of selected packs a!/((a-b)!*(b)!) which is the total number of ordered sets divided by the internal ordering of both selected and unselected groups. which is to say that there are the same amount of options from selecting 3 from 7 and selecting 4 from 4 as the latter is just selecting 3 to exclude. trust me I'm working in algorithm design and play+create card games as a hobby.(one of which has a demo on itch but it sucks ass) with b = 71 and a=7(is it 8 packs including the core set?) using the formula: 71!/(7!*64!) = 5,040 which is the answer given at the start of the debate and is the correct answer. but that is just the number of different pack sets you can have and not total content.

To explain where the "choose" formula comes from, and why n!/(k!*(n-k)!) works for figuring out how many combinations of 7 packs we can choose from 71 (or 6 out of 70 as it may be) The total number of permutations (unique orderings) of 71 packs in the first place is 71*70*69*... = 71!. However, this overcounts by both the permutations of packs that we're picking, 7 (because the order doesn't matter) as well as the permutations of packs that we're not picking, 71-7=64 (because we're not picking them). Thus we divide by both 7! (the number of permutations of the packs we picked themselves, which we treat as all the same) and 64! (the number of permutations of the packs we didn't pick, because we treat those the same as well). Therefore, 71!/(7!*64!)= 1329890705, the number of 7 pack *combinations* that can be chosen from 71 packs. If you're having trouble visualizing how 71! overcounts exactly, first note that when you pick 7 packs, you're also "picking" 64 packs that you did not pick. Imagine that when you pick 7 packs, that they're set in stone for now. The 64 packs you did not pick can have any order, but because we don't care about those orders, we need to get rid of them somehow. Every single selection of 7 packs has the same number of 64 nonpicked packs that we need to deal with, 64!. Meanwhile, because of symmetry, every one of those "nonpicked" selections has also overcounted the picked pack orderings. Each of those 64! "nonpicked" selections has its own 7 picked packs which in the naive 71! calculation have been overcounted by exactly the number of permutations of 7 packs, or 7!. Thus the amount that 71! overcounts is 7!*64!.

Frost is actually just KZfaq with all of his KZfaq content. But I agree that chat can be a bit of a KZfaq at times

paclmaster actually goated, we, would love, more :D

32:43 Frost's card, 33:22 Second half

Actually!!! The math to find how many combinations is… 1+1 =2 and u can’t convince me otherwise

I got the frost prime card on my very first run and had it with the frostbite pack and i popped off. Was so fun

Flow Pack + the Ethereal pack is so strong. It's a very easy infinite.

PRISMATIC SHARD RUN WITH THIS MOD!!! Plus add some other character mods for good measure?

By the math and probability on the possibilities and combinations, it's very easy to reach the conclusion that the content is pog, and whatever minutia comes along is completely useless. lol

For anyone who IS curious what math is correct: The number of combinations of 7 packs out of a possible 71 is (71!) / (64! • 7!) ≈ 1.3 million. If the order of the packs mattered (which it doesn't) it would be (71!) / (64!) ≈ 6.7 billion. In short, it's a LOT.

I'm just gonna say there's a LOT of combinations of packs. I'm not even going to try the math.

WE WANT MORE OF THIS MOD FROST

Got here before the math comments pog. Throwing my own answer in the ring for 131 million combinations.

Dr. Peglin poglin phd in factorials and sts damage calculations. As a profession opinion I think you should use your potions.

It's actually 69420 possible combinations. Trust me I'm a marine biologist!

My big takeaway from this video is that Olexa will never be able to understand his own card

Pog more cards more fun

Incredible poggers

Hi, it's me, one of those people who is playing StS Packmaster because of Frost Prime content :]

54 day frost evolution

Alternate title: Frost Prime goes to jail.

I’m glad to have a card named after me in the Alignment pack

Commenting for more of this pog content

The Odd One - it’s the hat and also Maokai :)

I saw a dragon hat. That implies a dragon pack. Show me the dragon pack run.

Play more of this character please