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Came here for a basic rundown when factorials were suddenly introduced in a math lesson and I'd never heard of them before, thanks for such a simple and straightforward explanation!
@@yungabdul1871 YUP, I mean obvs knew a bit about them but when we actually started doing some examples my mind could not comprehend where the numbers where the patterns were coming from that everyone somehow knew T-T
literally, I'm in calc two and my professor just included factorials in a problem one day as if all of knew or seen an exclamation point in a math problem before. but it's simple all he had to do was say it. so thank you TOCT
That’s Odd, i mean I know I definitely was taught what factorial meant before and im in calc 2 as well. No one had a problem with it that spoke up. I guess it just wasnt in your local curriculum?
I'm not in the school anymore but thanks to your videos I'm looking forward to learning maths just for fun. Everything you explain is logical and clear. You are the best teacher on the internet, thank you!
My teachers explanation of factorials was: Here, look.. 5! is 5 * 4 * 3 * 2 * 1. Get it? Sweet! Now lets do a series .. (2n+5)! / n(4n-1)! In other words, thank you math jesus
majdalin, The reason school teachers don't explain like this guy is, the way math was taught when they were in school required memorization instead of understanding. The "solutions" weren't properly explained, and critical steps were left out. The students who received high grades were the ones who memorized the incomplete solutions that were written on the board.
Faktöriyel sorusunu biz Türkiye'de lise de görüyoruz. Meğer adamlar üniversite de en basit faktöriyel sorusunu çözüyorlar. 0!=1 1!=1 2!=2 3!=6 4!=24 5!=120 6!=720 Yani diyebiliriz ki 5! den itibaren sayının son basamağı her zaman 0 oluyor. Bu arada 16 yaşındayım. Demek ki Avrupa'da okusam şu an üniversiteye kesin gitmisimdir.
Why do professors have to make everything so complicated when it's this easy to explain? NOT saying your work is light, because you're literally carrying thousands of HS and college students through their courses but like... I can't even glean any of this from the lectures my school gives, and we all know how much uni costs. Thank you so much for saving my grades and helping me understand the math!
They are not teachers but merely experts in their fields, they understand it their way but that doesn't mean they are good at conveying that information to others, espically when they might be managed multiple subjects and as a result don't have enough time to go into detail as much as they need to. Universities could easily hire actual teachers to learn from the professors to translate the information into a way that is digestible and to also reduce the workload for the staff managing subjectbut unforntunaly that would make it accessible to more people, and devaluing the degrees overall(to the university), resulting in the loss of profit for them in the short term(but being valuable for the longterm) Very few countries have non-privitised eduation system that values making the univeristiy enough money than for effective educuation
Just in time! Cruddy teacher = Cruddy understanding. Good teacher = Good understanding. You’re the good teacher. 2 years later and y’all are still complaining. I fixed it, happy?
No one should do as many math videos as this channel has. I think TOCT (The Organic Chemistry Tutor) is a robot. That’s the only logical thing left. When the world ends he will continue going. One day somebody will find the lair he has and it’ll be a bunch of wires and a big robot brain that’ll be going over math lessons.
thank you bro you have saved my day!i have watched almost 10 videos that means that i didnt understand my lessons in school thats bcoz of my teacher but you saved my day,you saved 9999 mil days,so god bless this person plz...
Wow! I was seriously struggling with a specific factorial simplification problem and it turns out it was one of the very ones that you solved in this video. Glory to God! Thank you so much my friend. You're videos help me so much. Take Care!
I swear this man is stalking me. He post inverse matrices while I'm learning about it in Linear algebra. He posts factorials when I'm reviewing the use of factorials in stats. wtf, why are you always here for me?
Even if I was watching this in HS, I love the fact that he still chose to have our backs in the same video when I would have to now confront factorials with series
that was so easy to understand! (that was so easy to understand) (that was so easy to understand -1)... i wish school would teach fast and easy like that
Thank you so much for this! This is the first video I clicked on. My professor just threw this same factorial problem in the online lecture. I had no clue how he got 24 until now. :)
I broke down factorial 52 so you can cheat on math homework Breaking down 52 factorial (52!) involves calculating the product of all positive integers from 1 to 52. It is an extremely large number, so let's take a look at the breakdown: 52! = 52 × 51 × 50 × 49 × ... × 3 × 2 × 1 To simplify the calculation, let's group some of the terms: 52! = (52 × 51 × 50 × 49 × ... × 3) × (2 × 1) Now, let's calculate the two parts separately: Part 1: (52 × 51 × 50 × 49 × ... × 3) This part involves multiplying all the numbers from 52 to 3. Part 2: (2 × 1) This part is simply multiplying 2 and 1. Calculating Part 1: 52 × 51 × 50 × 49 × ... × 3 = 3,041,409,320,171,337,804,361,135,652,208,989,321,781,688,343,680,000,000 So, Part 1 of 52! is equal to 3,041,409,320,171,337,804,361,135,652,208,989,321,781,688,343,680,000,000. Calculating Part 2: 2 × 1 = 2 So, Part 2 of 52! is equal to 2. Finally, we multiply Part 1 and Part 2 together to get the complete value of 52!: 52! = Part 1 × Part 2 = 3,041,409,320,171,337,804,361,135,652,208,989,321,781,688,343,680,000,000 × 2 And the result is: 52! = 6,082,818,640,342,675,608,722,271,304,417,978,642,816,780,000,000
Thank you, I'm studying Engineering and of course one of my modules is Maths and I'm brushing up on the basics and you are just such a God haha saving lives out here man honestly
Thanks for explaining! I an really behind and math and have decided to do something useful on RU-vid lol. Yeah, not motivated enough to do my work but I'll work on it. I know I really should just get working, because waiting for motivation ever works. But Imma just keep practicing math because my mom pays for classes but I feel like I'm falling behind in those as well and I'm not working hard enough. Enough of my rant though, thank you a lot! Your math videos are very motivating
thanks a lot sir i was doing a data science course and had a problem in permutation and combinations and factorials ...... i watched ur videos and understood perfectly