Permutations Combinations Factorials & Probability
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- Опубліковано 26 чер 2024
- Learn about permutations, combinations, factorials and probability in this math tutorial by Mario's Math Tutoring. We discuss the formulas as well as go through numerous examples. We discuss the multiplication counting principle as well as distinct permutations of n objects.
00:00 Intro
0:12 What is a Permutation?
3:00 Formula for nPr Permutations of n Objects Taken r at a Time
5:30 Formula for nCr Combinations of n Objects Taken r at a Time
7:00 Distinguishable Permutations of "MATH"
9:42 Word (Story) Problems
15:08 Examples with Cards
18:22 Probability Story Problem Examples
18:40 Formula for Calculating Probability
Related Videos:
How to Use Permutations and Combinations
• How to Use Permutation...
Probability Examples with Cards
• Probability Examples w...
Probability vs Odds
• Probability vs Odds
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If you would like to see another video I did regarding permutations see: How to Use Permutations and Combinations ua-cam.com/video/NEGxh_D7yKU/v-deo.html
Hi mario... On CAT we have 3ways using combinations.. I wonder what formula i can use to get how many times letter C, A or T occur in that 3ways, i know each letter occurs twice, just want to know if u have formula for bigger combinations purposes like 12 by 8 combinations which will lead to 495 ways, but how will i know in that 495ways there is letter A. Using A-L 12 letter and group of 8 combination?. Thanks in advance.
How permutation and combination are related in magic square of 1 to 9 added upto 15 in all directions
What are total number of ways for writing the combination and permutation of magic square ??
If I have a 14x12 board (168 spaces) with numbers from 1-6 (28 of each digit) and I roll 8 dice, what is the probability of rolling all ones?
In the card game Blackjack, there are one or more players and a dealer.
Initially, each player is dealt two cards and the dealer is dealt one card
down and one facing up. As in bridge, the order of the hands, but not
the order of the cards in the hands, matters. Starting with a single 52
card deck, and three players, how many ways can the first two cards be
dealt out? You can use the sage cell in the SageMath Note to do this
calculation.
Mario, I spent the majority of my Sunday watching videos on this and I have to say the biggest difference your video made, was really emphasizing the elimination of the multiplicities. That's a really important part of understanding even lightly understanding how this formula works. The ABC in your other video also really helped to visualize what was really going on. Great work and thank you!
You’re welcome Joshua! Glad my videos helped you! Thanks for commenting and letting me know!
I am studying for my content exam to become certified as a math teacher. I was using a study resource but could not understand this by reading it. I came across your videos and now I am searching for all your videos that would help me. This is so helpful! When I am trying to choose between perm or combo, I ask myself "does the order matter?" just like you do in your video. Thank you
I spent my whole Saturday trying to conceptualize all these three topics combined and everything failed until this video. I truly appreciate the simplicity of your explanations and connecting the concepts together!
Really well explained, especially the word problems, I love how you go through them with a line of reasoning. This made it so easy to understand, as opposed to the mindless mathematical jargon I see frequently in textbooks. Thanks!
The first time when i watch your channel was in grade 10, now i am going to my second year of uni, you vid are still helping me. you are the best math tutor on youtube. THanks :)
Glad my videos have been helping you over the years! Thanks for letting me know and wishing you continued success with your studies!
THANK YOU SO MUCH FOR THIS VIDEO! I have a maths exam next week and I've been through so many videos and none explained it as well and as clearly as you have. I'm glad I found your channel. I will be binge watching a lot of your videos for the next 2 years of school
It's very nice of you to put all these situations together for comparison! Very helpful, thanks!
You’re welcome Ye Lu! Glad my video compilation was helpful for you!
I just discovered your channel. I was searching for videos about permutations and combinations that can help me in the GRE test, really the explanations and the problems are solved in a clear way.
Perfect explanation... it can't get better. I was running away from this subject through school and now I am a psychology student and still have to learn it in stats. ...yet you are the best one who put it all together in a very simple and clear way....Thank you a lot !!
Very realistic video.
Just like how I come late for class, the lesson started before the video started.
You deserve my tuition. Feels like we’re using the same textbook as well because these are oddly similar to what I’ve been working through. Thank you Mario 🤝🏻
You’re welcome !
I can't thank you enough man. I'm a native Dutch speaker who studies in Russia where I had to learn this in Russian. Needless to say that it ate my brains up. So thank you so much for this elaborate English version.
THIS VIDEO SAVED MY LIFE. FINALLY A BREAKDOWN OF DIFFERENT SCENERIOS!! INSTEAD OF NON SENSE QUESTIONS! THANK YOU
Wow. You explained it so well! Thank you so much. Everything is now clearer.
Your welcome William! Glad my video helped you!
Thank you! I'm doing the GRE 10 years post- any high school math class - and this has been the best explanation of permutations and combinations [as well as probability!] etc.for me
Awesome! Glad my video helped you Yuki!
You're a such a great teacher, Mario! I'm grateful to have found your channel. Thanks so much!
You’re welcome! Glad my videos are helping you!
Before watching this video I was struggling with Permutations so much. Your video is probably the most helpful regarding Probability. Thanks for taking the time :)
Thank you, this was really comprehensive and well-explained.
You’re welcome! Glad you liked the video!
Thank youso much for making great contents! I've been reviewing these for years but you explained it well like it can be learnt within a minute
Thank you so much. I'm a German student and I just discovered that studying math in Englisch works way better for me. You're doing great and meaningful work. Keep it up!
Thanks Cem! Glad my video was helpful for you!
I didn't learn these tropics when I was in school but now I cannot solve most of the competitive programming questions without these topics.
No bs just straight teaching. Good stuff!
This is the best explanation I have had regarding these topics! thank you for providing the video.
You’re welcome Lemuel! Glad my video helped you!
What a wonderful service you are providing. Thank you, thank you.
Amazing Lecture! You made these subjects VERY clear. Thank you so much for your help.
Your welcome Roberto! Glad my video helped you!
Studying for the GRE and you saved my you-know-what. Thanks for breaking everything down for a linguist! :) It's clear as mud!
Not clear?
Thank you. Love the visual and clear explanations.
What a wonderful way to explain permutations and combinations! Thank you so very much!!!
You’re welcome Robert! Glad you liked the video!
Sir, Love from bangladesh. Your teaching is excellent and I have seen your many tutorial .
Great! Glad you are benefitting from my videos and channel!
Simply Marvelous! Thanks a million for explaining it so well.
You’re welcome Atif! Glad you liked my explanation!
Thanks for helping me before the quiz! Now I understand everything!
Glad my video helped you! Good luck on your quiz!
This video couldn’t have been any better. Thank you!
You’re welcome V1Gibby! Glad you liked the video!
Super helpful and well-spoken! Thanks for the help Mario!
You’re welcome Jonathan! Glad my video helped you!
Thank you for giving a title to each section of the video!
Thanks for preparing me for a math quiz during quarantine! This really helped clear things up a lot.
You’re welcome! Glad my video helped you prepare for your quiz! Report back if you want and let us all know how you did.
This was wonderful. Thank you!
Let's get it son, you're the best, this really helped me. Thank you, if it wasn't for you, I would have failed in my course. Big up bro
Glad my permutation Video helped you Fernando!
Well done! Thank you, Mario!
Your classes are so helpful for me and you are literal talented.
I’m so glad my video lessons are helping you Yixin!
Thanks, this helped me clear out some complications and understand the whole concept.
I would thank you from the bottom of my heart for making such a great tutorial
You’re welcome Ibrahim! Glad you liked the video!
This is so clear cut, I understand more but it's not as deep into the theory/algorithm as I want tho, one of the best explanation on youtube that I've found about this topic.
I am preparing for a math exam and I came across your videos. They are so useful and clearly outline the key concepts to understand the the logic. Thank you so much!
Best of luck!
Mr. Mario our teacher sent this to watch because of Coronavirus we can't afford school.
Thank you, Mr. Mario
You’re welcome! Stay safe!
Im here watching 30 min before the exam and you put that all into my head good job. Thankss
i also like the fact that you didn't perambulate or beat around the bush.
nice job going straight to the point
This channel is probably one of the great discoveries of mine on YT
simply, you make it so easy to understand. Thank you!!!!
Glad my video simplified these concepts for you!
Finally! Where you been all my life? I'm no expert just yet, but I'm on my way thanks to you.
Glad you liked my video Francisco! Glad my videos are helping you!
I understood everything, sir. Thank you so much!
I always had fear of probability and permutations since my school days though I was good in Mathematics. But this explanation cleared my concept.. Now it would be helpful for me while programming. Thank you. +1 subscriber
Thank you, I am having a hard time with my discrete math course and you are answering all the necessary questions that we students have when dealing with word problems.
I'm taking an online stats course and we're on this topic. I read the chapter. Took notes. Looked at power points and notes. Took notes. Watched the videos from the publisher of the book. Took notes. Still didnt understand. It was like a foreign language to me. I wish I had more time to view your stuff, my test is in 2 hours... glad I found you nonetheless
Good luck on your test! Report back if you want and let us all know how it went.
This video really helped!! this is a subject i could never understand but now i do thanks to you breaking it down in slow and simple terms :)
Glad my video helped you Avanish!
All Concepts Nicely put together in one video!!! Nice for a review when put at x1.5 speed
Thanks Mario. Very helpful video.
Thank you so much. This is a lifesaver.
I know this video is old, but this has helped me so much! I have to take the SCAT soon, and these concepts are always something I struggled with. Your simple approach saved me hours, and I understand the concepts!! Thank you!!
You’re welcome Liam! Glad my video helped you! Good luck on your test!
im taking an online math class this summer and they did not explain factorials very well, but you made it completely clear. thanks for the help!
You’re welcome Audrey Kim! Glad my video helped you and good luck with your summer class!
THANK YOU SO MUCH ALL YOUR VIDEOS ARE EXTREMELY HELPFUL
who ever you are!! you have changed the way I look to probablity, THANKS...
Thanks alot sir....It was so interesting and well simplified...I had so much benefit from your tutorial. Indeed you're a great TUTOR. GOD bless you.
Thanks a lot Sir!That's really a great and simplified tutorial.
You’re welcome Tatenda!
Wow! Teaching really is a gift. Thank you Sir
You’re welcome! Glad you liked the video!
thank you mario!
Very nicely done. Right to the point with brilliant clarity and abundant information.
Glad you liked my video Dr. Aubrey!
Well,I now know what it means that teaching is an art! If teaching is an art, then you are the maestro. Thank you Mario!
Glad you like my teaching style!
Fantastic. The way you explain is awesome. i saw a number of videos but u satisfied me. Thanks.
thank you so much. it's been a while for me trying to understand this lesson, but now the jug is broken and it's very simple for me. thank you so much and keep going, wish you the best.
Glad my video helped you Basil!
this video is just awesome!! thank you
Thank u so much sir!!! It was very helpful and to the point👍
Glad my video helped you Meghna!
This was clear! thank you
Underrated channel. Just found it and subscribed to it. Please keep educating us.
Thanks Rajendra!
Thank you very much! I'm telling you, you're a hidden gem for students who are having a hard time like me in mathematics.
ikr totally agreed!!
you really broke it down to my understanding
You really simplified it in the easiest way possible.
Thank you Professor, your explanations were soo easy to understand. Subscribed
Came in clutch Mario appreciate it
You’re welcome Simon!
Thank you so much for the detailed explanation.
You’re welcome Preethiga!
Really like the way he teaches. Very understanding
Glad you like my teaching style Kenneth!
Thank you so much for your videos. They have helped me very much as an honors precalculus student!
Your welcome Christine! Glad my videos and channel have helped you!
This is by far the best tutorial on UA-cam on permutations and combinations. Richard Feynman would be proud of you!
Glad you liked the video Max!
This is amazing ! you helped me sooo much. Thank you sir.
Me: Looks at discord for a second
Him: A bunch of formulas on the whiteboard
Thanks a lot! you are a great teacher!!!
Thank you so much you explained it so clear 👍👍👍
great work prof, thanks a lot.
Thank you so much, this was incredibly helpful and made the topic so much easier to understand!
Glad it was helpful!
Thank you, sir. I appreciate your approach and teaching skills.
You’re welcome Christian! Glad you like my videos!
Your teaching is excellent . Easy to understand and more practical. Great teacher
Glad you like my teaching style Yuan Jiang!
Great video. Very clear. Thank You.
You’re welcome Ved Bee!
Thanks i appreciate these videos very much ....
I was taking an online math 2 class and the permutations and combination confused me but this video eliminated the confusion. Thank you Mario!
You’re welcome Dushant!
this video is excellent! thank you from Korea
Glad you liked the video Diane!
Mario. You are a genius
Very helpful, I understood most of it already but it makes for great revision before my exam!
Thanks a lot!
You’re welcome Olivier! Glad it helped you review for your exam!
@@MariosMathTutoring I got an A! Will definitely recommend your channel!
Congrats on your A! Great job!
Wow thanks sir that's clear 👏👏
Great job
Thank you so much am now at a better position to attempt any permutation and combination question
Thank you very much!