it's been like 2 weeks i barely touched combinatorics i have absolutely 0 clue how to study this shit i've never studied in entire life i can't fucking fail this holy fuck what do it i thought uni math will be all cool logic not memorizing fucking 50 types of problems and integrals every week for every course this is so much fucking memorization and almost everyone already studied this shit at some point (HOW?) so i'm the only person who doesnt know what the fuck is going on
>>16938723>i thought uni math will be all cool
>>16938723>uni mathholy fucking filtered
I love combinatorics
>>16938723
>>16939139filtered by what you fucking failed abortion i havent even started
>>16940621then start nibba, can you solve these >>16939226
>>16938723Combinatorics is finding bijections between (finite) sets. Learn set theory first.
>>16943355we had some set theory bits in our logic course which i fucking LOVED this is what math is all about to methe whole point of combinatorics is to apply problem solving algorithms, establishing a bijection works the same every time>>16942953nobody works this shit out on their own you need to see some problems first. Others who are taking this class have had some combinatorics already (+ high school combinatorics) but i haventit's this indecision paralysis that's how procrastination works. high bar of entry and fear
>>16938723It's not memorizing 50 types of problems, it's memorizing 3 or 4 problem solving strategies and applying it to each situation to see what comes out. This is how every math, physics, and engineering class that's ever been offered.Chances are your instructors have flat out told you this on multiple occasions.
>>16939226Example>1.18 - Big complicated problem about dividing shares among sonsJust figure out your limits>largest number of shares any son can own is 50>smallest number of shares any son can own is 1Congratulations, this is now just every single 'stars and bars' problem where you're dividing n objects into k groups.[math]N=\left(\substack{n+k-1\\n}\right)=\frac{\left(n+k-1\right)!}{n!\left(k-1\right)!}[/math]Calculate the number of ways to distribute 101 objects among 3 groups[math]\frac{103!}{101!2!}=5253[/math]Calculate the number of invalid cases. Assume one group already has 51. Calculate the number of ways to distribute the remaining 50 objects among 3 groups[math]\frac{52!}{50!2!}=1326[/math]Any one of the three groups could be over the limit, so multiply this by three to get the number of cases which violate our limits[math]3 \times 1326 = 3978[/math]Subtract[math]5253 - 3978 = 1275[/math]There are 1275 ways to divide up 101 objects into 3 groups such that no group has more than the other two combined.Like I said, when you do enough problems in any topic you eventually realize that there's really only three or four different *kinds* of problems in any given topic and everything else is just layering on more complicated details or conditions. But you're ultimately still breaking everything down to one of those three or four problems that you know how to solve.
havent done shit today againi'll go over what i need to learn >pidgeonhole rule~5 types of problems, i went over them and also went over some more outside of my problem sets and still cant do shit>counting which is combinations variations etc. this is easy>binomial coefficients which is basically rationalizing through "stories" combinatorically why some equations work. maybe it'll become approachable after few prpoblems>Inclusion-Exclusion Principle, should be ok that's just counting>Derangements>recursion (catalan and fibonacci)i am at pidgeonhole rulei get the idea but i still can't do stuff like prove that some set has some number of things that do something. geometric ones are easy.i've done very little a few days ago but i still cant find ways to split them i just need spend some time on it but it just feels impossible to sit down and do it>>16943632ok but i've done this types of problems in high school that's easy
>>16944244havent done shit today either
>>16945157ok i lied i'm doing something right nowgod this is tediousllms are also completely useless for this
>>16945400>ok i lied i'm doing something right now>god this is tedious>llms are also completely useless for thisanon... you're getting filtered hard. start looking for something else to do, because this clearly isn't for you.
>>16945952nothing is for me i'm a dysfunctional retard its the same with everything i do
god im such a fucking loser
