I did 4 years of Bachelor of Science in Computer Science and I had a LOT of these math classes. This was the clearest, easiest to understand, and most well-taught class I have ever seen. Good job. This is master level.
I am a ninth grader. My school is teaching 11th-grade syllabi for JEE preparation, but I never really understand them. After my dad's suggestion, I started watching your videos and now I understand the theory of what is being taught in my school with a deep insight. Thank you so much for such a quality teaching. I don't know what was I going to do without any of your videos.
Greetings from Ukraine! Eddie, you are awesome teacher. I love math only because of YOU (such as I really hated it before discovering your chanel). Thank you a lot!!!!!!
If you want no repeats, isn't it 10 x 9 x 9 x 9? For the third digit, I just don't want to repeat the second. But I could pick the first and it wouldn't count as a "repeat".
That is not a permutation, but variation! In a permutation you have to use all the elements of the sample space! Which is why it is very useful to model symmetries with permutations. N!/(R1!*R2!*...*Rn!) is the permutation with repetition and N! is the permutation without variation! What you are talking about under permutation is actually variation!
A thing that always help me is imagination... So, try to think like this (at least it worked for me): 10! = 10x9x8x7x6x5x4x3x2x1 6! = 6x5x4x3x2x1 So, if you write that as a fraction: 10x9x8x7x *6x5x4x3x2x1* ----------------------------------------- *6x5x4x3x2x1* When you look closely, you realize that the *bold* part repeats, and since it's all multiplications, you can cut them off... 10x9x8x7 *cut* ------------------------------------------ *cut* So, you end up with: 10x9x8x7 Exactly what Woo wrote in the board... Simple like that! Haha
Imagine if there are 5 ways to go to a place C from a place B(B-C = 5ways) and also I have 7 ways to go to place B from A (A-B= 7ways). Now in how many ways we can go from A to C ?........well the best approach is that if I go in just 1 way from A-B then I will have 5 ways to go to C hence there are 7ways to go from A-B, then I will have (in total) 5+5+5+5+5+5+5 ways which is 35 and that is why we do 5×7=35. Hope it helps!!!
Great teaching sir But I think the answer for permutations for 4 digit pin is 9 * 10*10*10 Because the first slot or the thousandth place has only 9 choices with zero excluded because if it starts with zero it will not be a 4 digit number Thank you for the teaching Helped a lot I had lost my intuitive understanding of some topics hadn't revised those parts for a long time From india
![[페이스캠4K] 베이비몬스터 치키타 'FOREVER' (BABYMONSTER CHIQUITA FaceCam) @SBS Inkigayo 240707](http://i.ytimg.com/vi/x9VRNTV4VDI/mqdefault.jpg)
I love how you give an example of the permutation formula before giving them the formula, so they build the intuition. Amazing teaching method.
I love how this guy just teaches students with that emotion and good energy! Really Happy :)
I did 4 years of Bachelor of Science in Computer Science and I had a LOT of these math classes. This was the clearest, easiest to understand, and most well-taught class I have ever seen. Good job. This is master level.
I am a ninth grader. My school is teaching 11th-grade syllabi for JEE preparation, but I never really understand them. After my dad's suggestion, I started watching your videos and now I understand the theory of what is being taught in my school with a deep insight. Thank you so much for such a quality teaching. I don't know what was I going to do without any of your videos.
I am from India and I thank u to give me conceptual idea about permutation..
Love from India
🤗🤗
I am from Germany and I am kinda triggered by SS as an abbreviation
@@bymagix8923 what does ss mean?
from my knowledge it is a paramilitary force under Adolf hitter's control
@@ngl2935 Started paramilitant, gone official. Not good.
You're a great teacher man
Why is this guy a genius? Respect big man.
Thank you Eddie Woo for making this topic seem accessible. I genuinely laughed at the odds of picking the winning trifecta example!
your way to approaching things is more understandable for hsc students thank you tons sir
@ooooooooooooooooooooooooooooooooooooooooooooooooo the book name is "Cambridge Mathematics 3rd Unit 2nd edition enhanced"
😁🙂
you my good sir. is a living example of why we need good teachers not just teachers.
This guy is "the teacher". Seriously best teacher ever.
I can't believe I only found this nowwww.. but still this is so very clear, concise and coherent I think I will enjoy math from now on. 😄👍
Greetings from Ukraine! Eddie, you are awesome teacher. I love math only because of YOU (such as I really hated it before discovering your chanel). Thank you a lot!!!!!!
hows the invasion lol
An amazing professor like always
Thank you never regretted watching your videos before test💪❤
Your enthusiasm is infectious
As always a very helpful video! Thanks
You are one of the greatest Mathematian
Straight baller, I hate math.
You make math easy
keep it up please im tryna farm some loot with this powerful knowledge
Thanks Eddie, I love yours math channels.
tysm eddie 😭 pls continue making excellent quality vids as this!
Thanks mate got an exam coming good revision!
the way he teaches is so understandable oh my god it is just crazily good
You are an amazing teacher. Your videos are amazing :)
i used to be scared of maths, This is really fun , everything now makes sense
man i swear if i had professors like him i wouldve actually paid attention in class
Greetings from India, sir. AMAZING VIDEO.
finally, another teacher who's acc good!
Amazing!
that one student scratching his head is definitely me not understanding a word of it.....
Thank you so much
Wow reference to quantum wave function which is probabilistic where exact positions are unknown but has probability of it being there
Love that he knows betting
Thanks a lot sensei
Wow,the date on the whiteboard..my birthday
Excellent
I am in 10 and I am able to understand this because of his simplicity
Sir, Could you please explain the topic of colouring of a cube ( number of ways )
My man.
god bless me with your brain .
There are 4 number cards 3,5,0,2.
How many ways this cards can be arrange if one card can only be used once?
If you want no repeats, isn't it 10 x 9 x 9 x 9? For the third digit, I just don't want to repeat the second. But I could pick the first and it wouldn't count as a "repeat".
why do you divide instead of subtracting?
That is not a permutation, but variation! In a permutation you have to use all the elements of the sample space! Which is why it is very useful to model symmetries with permutations. N!/(R1!*R2!*...*Rn!) is the permutation with repetition and N! is the permutation without variation! What you are talking about under permutation is actually variation!
Can't be clearer than this.
im fucked for trials hehe xd cant wait for mystery mark :))))))))))))))))))))))))))))))
6:27 - 6:31 - Why are you dividing it and not subtracting it? Could someone please explain?
A thing that always help me is imagination...
So, try to think like this (at least it worked for me):
10! = 10x9x8x7x6x5x4x3x2x1
6! = 6x5x4x3x2x1
So, if you write that as a fraction:
10x9x8x7x *6x5x4x3x2x1*
-----------------------------------------
*6x5x4x3x2x1*
When you look closely, you realize that the *bold* part repeats, and since it's all multiplications, you can cut them off...
10x9x8x7 *cut*
------------------------------------------
*cut*
So, you end up with:
10x9x8x7
Exactly what Woo wrote in the board... Simple like that! Haha
@@GabTheAdventurer Thanks a ton
@@LetsBeHuman You're welcome
I LOVE YOU.
no homo
Why do we have to multiply????¿??¿??¿???¿
Imagine if there are 5 ways to go to a place C from a place B(B-C = 5ways) and also I have 7 ways to go to place B from A (A-B= 7ways). Now in how many ways we can go from A to C ?........well the best approach is that if I go in just 1 way from A-B then I will have 5 ways to go to C hence there are 7ways to go from A-B, then I will have (in total) 5+5+5+5+5+5+5 ways which is 35 and that is why we do 5×7=35.
Hope it helps!!!
@@rahmatazam3281 thank you so much for replying but one question ahead : that u have written (in total) = 5+5+5+5+5+5+5 which is 35 how ????
@@deepaksharma790 add 5, 7 times you get 35; 5+5+5+5+5+5+5 = 35
@@rahmatazam3281 ok now I got it thank you 🙏😇
can you pls teach our staff how to teach like you in our country🚶♂️
from India
Great teaching sir
But I think the answer for permutations for 4 digit pin is
9 * 10*10*10
Because the first slot or the thousandth place has only 9 choices with zero excluded because if it starts with zero it will not be a 4 digit number
Thank you for the teaching
Helped a lot I had lost my intuitive understanding of some topics hadn't revised those parts for a long time
From india
Karthik Prabhu A four digit pin is not equivalent to a four digit number. One can have a four digit pin starting from zero.
Why did he divide by 6! and not subtract 6!
xavier
like if your from india