Statistics Lecture 4.7: Fundamental Counting Rule, Permutations and Combinations

[@Peter_1986]

The funny thing about Professor Leonard's lectures is that they don't actually feel like typical lectures; they feel almost like a television series, which you watch with a lot of joy and look forward to the next "episode".

[@eliftas3344]

Very well said!! ^^

[@Dickylong55966]

indeed

[@saraaaa747]

this!

[@Al-Ahdal]

Best teacher for Statistics on the planet. The way he teaches statistics is awesome. I have found lots of teachers who don't possess the practical aspect of statistics and that's why masses found statistics is boring, but Professor Leonard teaching style is really awesome.

[@pearlylissanu]

Rules 3:15 - 5:35 Fundamental Counting Rule for Combinations (with independent events) 45:02 Rules for Permutations 1:32:03 Rules for Combinations

[@wolfgangi]

+pearlylissanu thank you for the timestamps !!

[@bohoberry0]

very helpful thank you!

[@hitman9645]

thank you so much

[@jillyburt]

thanks.

[@courtneyyoung6721]

This is so helpful for an online college course in statistics

[@birdog23]

Your students don't know how lucky they are!

[@saraaaa747]

i'm sorry prof i'm gatekeeping you from everyone, you're too good to be recommended to anyone

[@D_bugit]

same here😂😂😂😂😂😂

[@judecarvalho5859]

Dear Sir i myself is a Maths teacher and the way you have explained the difference Permutation & Combination is so awesome. Specially the way you brought Permutation shifting to combination clears the students doubts. "i will be using these examples for my students for easy understanding. worth the 1 1/2 hrs of the time to learn new ways of helping students understand better.

[@YonaMsinkhu]

Your method is so unique it has changed my brain completely

[@wornpagesandendlesscoffey]

You are seriously saving my life. I don't do math. I have a B.S., 2 AA's, and working on a M.S. and I cannot understand math....you have finally made it make sense. THANK YOU THANK YOU THANK YOU!!!!!!

[@rvalenta4]

Mr. Leonard is slowly but surely becoming an international hero :-D

[@patrickmuvunyi55]

Woooow!!! Thank you so very much, Professor! 2011, really?????? Genius people have been there! Thanks for putting this on KZbin for free!!!!!

[@toomsloom2817]

Please don’t stop with the videos prof L. They are really making a difference in so many students lives and thank you 🙏 so so much God bless you

[@pearlylissanu]

Calculator 32:32 Factorials on Calculators =x! 53:05 How to calculate Permutations on Calculator =nPr 1:34:56 How to calculate Combinations on Calculator =nCr

[@ernestoamezcua7669]

after many years after getting my degree thanks to your explanations, I had to go back here and refresh my memory on counting. I know I can count on you professor leonard!

[@ngawangtashi4736]

watching this 2019 still the best vid i could find. thanks alot.

[@josephdelise3398]

@ET Stalker PPP}ppppppp 😭😭

[@noushindowlatshahi6221]

Dear Professor Leonard, what a dear you are! Huge help! One of the best teachers I have seen! Some university professors can take a page from your book! You actually love what you do.

[@kushagrajaiswal2178]

Definitely, one of the best teachers on you-tube. You helped me a lot sir. Thank you !!!!

[@spiritchaser411]

I've already learned more in the first 4 minutes than 3 days of online study. Thank you!

[@anigrig1719]

Here in 2021, after breaking my eyes and head on the materials given by my professor. Why is it that when I watch Professor Leonard’s videos I understand everything, then I look on the materials given by my professor I understand nothing. Thank you professor Leonard for making me believe that I am not stupid. Because this is how I felt always with my math related professors and teschers since school.

[@MrCuteguylol]

0:00 counting and hence fundamental rule of counting 10:46 making sense of the factorial function 35:21 projector moves up (very satisfying) 35:41 intro to permutation 56:40 the general 1:06:29 example to illustrate NON distinct objects 1:28:16 When the order doesn't matter 1:06:29 combination

[@jonathansabido5430]

I hope that you continue to make these types of videos. Rare to find a teacher like you.

[@Out1sSaidAsOat]

Starting my actuarial courses now in uni and STILL getting schooled by professor leonard, amazing stuff

[@hannah840353]

I thought statistics online was going to be really scary but you make it SO easy! Thank you!! I am beyond grateful!

[@Rachthepisces]

seriously wish you were my teacher, I didn't understand my professors note the whole course and made 60-66 on the tests... after watching you and taking notes and studying your notes I made a 95 on my final.... and my professor had had looks like you decided to study in an e-mail, no he just sucks as a teacher and I learned from Professor Leonard is what I wanted to say.... but that wouldn't be appropriate, however I am complaining to my college because I didn't pay for a teacher that couldn't teach and make us feel stupid when we ask questions and then not explain.

[@FoUr-ko1rs]

You go girl

[@fantadia1246]

I really appreciate that you sharing votre vidéos. Thank you so much. You are contributing so much !

[@abrarahmed8325]

Is every stat teacher is like that lol?

[@gardenmenuuu]

what have you become now

[@Rachthepisces]

@@gardenmenuuu RN,BSN

[@radwasobhy1648]

watching this 2021 and literally, this one is the best video everrrr, thank you for saving my grades!

[@sunayana777]

you r helping people around the globe. best professor ever... i wish i could meet u....

[@whitetigerpwns]

I have a test on this stuff tomorrow and I sincerely wish I had found your videos sooner! My professor is a good teacher, but we don't have time to go through everything thoroughly! You have helped me better understand most of the material! So thank you so very much sir!

[@ngonidzashekimbini7177]

Hope you did well

[@noreenelizabeth6617]

My statistics course is pretty much death by power point and you have brought me back. Thank you!

[@koolbee6446]

you are the best teacher there is,there was ,and there will be..........................

[@4bearswalking535]

I tried several different videos but couldn't quite understand this math until I found your video. Your explaination of how to work Permutations and Combinations was crystal clear! Thank you!! I now understand how to work those problems and am feeling much better about my upcoming, Fall 2017 math class at college.

[@jhonen32629]

My teacher went over this so quickly without a care in the world and it made it difficult for me to understand what was going on. This video, just like all of your other videos, helped a ton! Thank you!

[@B1narily]

LOVED this lesson - great job Professor Leonard!

[@pearlylissanu]

Formulas 48:55 Full Formula for Permutations (with distinct /nonidentical items) 1:11:07 Formula for Permutations (with identical/nondistinct items) 1:33:03 Formula for Combinations

[@ahmedalanbagi1416]

it took Leonardo 14 hours to get what my instructor did in 35 minutes. thank you sir for making math easy

[@Sk8erMorris]

I appreciate all my professors; I do pass by to review the concepts or see different examples for better practice from my part and I appreciate these videos as well

[@jesus4life271]

You are awesome you make this sooo simple I've been stuck on permutations and combinations for the longest time thank you sooo much God bless you!

[@nikolaizaicev9297]

Thank you, I finally understood that stuff on a conceptual level. I wasted about 2 days, trying to learn that from my universitie's script and books, but got nothing aside of a frustration. I wish, we had a Prof. like you at my university.

[@caribbeankpoplover]

Omg please be my Professor! Can't believe I'm just finding these series when you helped me to ace Calculus II last semester

[@pearlylissanu]

Factorials! 16:18 - 23:55 Factorial for Permutations 32:32 Factorials on Calculators

[@sarahmunga]

Excellent delivery. Thank you Prof. Leonard.

[@matthewkazen2584]

Was so happy to find that he had this as well as began uploading Calc 3 lectures. Wish all professors taught in this manner

[@ihabalbadr1910]

we still in 2020 and you are the best teacher i have ever seen, thank you alot.

[@adaezeonwuka1452]

Thank you so much!! I feel so confident now.

[@eti-abasiumobong2500]

MAHN, PLs make math lectures for like every topic in math. Best guy ever.

[@PatrickMurray1966]

You're a lifesaver. I wish you taught here in Fresno.

[@googlem7]

I heard about this Teacher.. Impressive teaching method.

[@taekwondotime]

I think it would help greatly at 15:00 - 20:00 to draw the distinction between the security code example (where the numbers 0-9 can be reused for each digit) versus the fruit example where you only have one of each fruit total and they can't be reused. You can sense that the students are expecting to be able to place an apple in every one of the five slots. They're seeing fruits but thinking security codes. I also think it would help if statistics teachers brought props to the class. Bring an actual deck of cards to class. Bring a coin. Bring a 6-sided die. To see it being demonstrated right in front of the class is a powerful learning tool. I bet half the students in the class have never played cards before (a very real problem when describing probabilities using examples involving playing cards). The odds that every student knows what a Jack is or knows the four suits in Poker is quite low. I'd bring a deck of cards to class, open it up, and display it for everyone to see. That way you remove all doubt. Love the videos, keep up the great work! FYI: I took statistics in college and I'm watching these videos for review. This one particular area of statistics is arguably the most confusing area in all of mathematics.

[@crazyakagino]

Thank you so much!!!!!!!!!!!!!!!! Professor Leonard. I am a biostatistics students and you're saving my life!

[@davidbanahene307]

Francisco E Cartagena , thank God u are saved # 😁 😂

[@mathbytv4858]

Your teaching on Permutations and Combinations was spot on! Thank you very much!!

[@dogwithwigwamz.7320]

When - at which instance in mathematical structures - are unlikelyhoods regarded as trivial ? And who dicides ? A coin that is tossed may come to rest on its edge, and a die on one of its vertices. Most unlikely, but which mathematician may say it cannot ? Granted a point has no dimension and a vertex being a point.

[@madalixful]

OMG it is the first time that i really learn this...WOOW omg thanks a lot 4 sharing this masterpiece class with us, love you Professor Leonard

[@raquelguzman6048]

Awesome teacher!! Wish I had a teacher like you. U can tell u love ur job. I completely understand my hw now.

[@Charli3Brwn]

THANK YOU SOO MUCH FOR POSTING !!! in my online Statistics class!

[@tomriddle4038]

Thank you sir. This course of statistics is amazing!

[@KWPariah]

Professor Leonard, you are amazing at explaining this stuff!! My only wish is that I'd found these videos two months ago rather than two days before my exam :/

[@kholofelohlongwane9497]

you are always the best...one in the millions 🙏🙏

[@faahimrafi8720]

i have never seen someone who breakdown permutation formula in so simple way .

[@shadburnett9211]

you seriously helped me to understand this course. thanks alot

[@drizzzy1988]

Another amazing lecture!

[@johntindell9591]

Thank you so much

[@musicfunandmore8980]

Thanks for getting me through Statistics!!!!!

[@nishchayjain2343]

just really can't thank you enough professor ! you're videos are so very helpful 💜

[@courtneyyoung6721]

Thank for recording statistics class

[@paulluhan]

Where can I watch Lecture 4.8? Because I want to learn more about combinations

[@doenglapitus4986]

Pure math comedy right here. 5!

[@aliraza7538]

Best teacher

[@VectorSpace33]

For faster access to Factorial/combination/permutation on TI 84: Alpha (the green button) Window 9 (for factorial) 8 (for combination) 7 (for permutation)

[@heilaal-mogren5828]

Hello professor, I really enjoyed your videos but I have a small suggestion that might help many people. Because lectures may contain several sub-topics and someone might need specific subtopic or specific thing they did not understand, it becomes hard to look for that specific subtopic in 1 or 2 hours long video or even deciding the right video because videos are divided by lessons not topics.. so I suggest putting something like hashtags in the description containing the sub-topics.. for example, I'm looking for explanation of cardinal numbers of set, but I don't know where to find this exactly in your videos because my textbook is different than the one you're using... in my textbook it's in the same lesson with permutation and combination.. I even couldn't find using search tool in your channel.. otherwise thanks a lot for your great videos and your channel is very excellent!

[@aram5642]

I have been helping others understand the basics of probability, counting, and I always need to start by pointing out the common meaning of the word 'combination' which is used interchangeably for both combinations and permutations. This often blurs the difference between the two. All the examples with pin codes or code padlocks are unfortunate, because the commonly used word "combination" implies the order of the digits does not matter (1234 should then work for 4321), while in these cases it does matter, so we should speak about permutations instead.

[@icee562]

Amazing lecture. Seriously.

[@arnaldoperez4188]

6:07 The answer to that question is YES. Surprisingly that happened to me today, the same day I'm watching this video 😂

[@sudhapriyashrivastava6808]

Thanks professor.

[@rochannahenry4829]

I love you prof, thanks to you I finally understand combinations and permutations

[@VananhNguyen-wk2im]

Thank you so much. You are the best!!!!

[@hussamcheema]

Thank You So Much!! Love from Pakistan

[@kbget1214]

thank you and thank you sir ........wish you were my instructor. make everything piece of cake!

[@ronaldjohnson4470]

Great tutorial.

[@dougls2564]

Love the video. Will you pease tell me how many different combinations of exactly 3 heads and 3 tails any combination there are in flipping a coin 6 times. So my guess is 16 out of 64 combinations

[@karimkaan8700]

Seriously you are unique !

[@ianhnizdo4787]

The second you started doing fruits I though of an old Monty Python skit called "How to defend yourself against a man armed with a fruit!"

[@sastidukandari1197]

my all time favorite.............

[@jimmyjakes1823]

Nobody posted the answer for the boys and girls problem @ 1:22:00? I got 792. I'm pretty sure I'm right but I've been up all night and that number seems small, so who knows. 12! / (7! *5!) simplifies in the numerator to: 6 * 11 * 2 * 3 * 2 = 792

[@rodot-khandari]

Is it you Clark?

[@tapologomabotho4366]

this man is amazing!

[@randytheram1]

Well done!

[@rambodude19]

Thanks man! So much help!

[@adarshnamdev5834]

Prof. Leonard could you also please add a video to calculate the probability using permutations and combinations as well...

[@ShashankPrakash-g2v]

is this useful for economics honours Delhi University

[@haneenmomani2543]

That was extremely useful! Thank you! :)

[@zozomajed5383]

Thank you so much that is so helpful, i wish that you can be my statistics teacher👌, you are the best , thank you for being here in KZbin 😂💜

[@Peter_1986]

One way to show that 0! = 1 is to kind of "complete the pattern"; for example ----- 4! / 4 = 3! ----- 3! / 3 = 2! ----- 2! / 2 = 1! ----- 1! / 1 = 0!, which implies that 0! = 1, since the above pattern implies that n! / n = (n - 1)!, assuming that n ∈ ℕ, n ≠ 0.

[@catalinaalvarez5919]

thank yousir .God bless

[@anm9842]

You are the best !

[@charanjayachandran6187]

Thanks sir

[@dee27ana]

you are amazing! thank you for the video!!!!!!!!!!!!!

[@الأستاذابراهيمالتعمري]

The total number of ways to select 3 males from 35 can be calculated as

[@ke6757]

When I grow up I want to be Professor Leonard

[@sibongumusaws9551]

What book are you using?

[@GOODTHINKER691]

I'm from India sir 🙏

[@Hobbit183]

55:54 Very handy for a teacher to have a magic button that erases everything on the board AND chances the outfit

[@Messiah_goat]

Good day, Mr Leonard May you please provide me with lecture 4.6 link

[@crgIN07]

what text book are you using?

[@theinthanhlan3582]

sure!!