Permutations Combinations Factorials & Probability

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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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* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
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Опубликовано:

26 июл 2024

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Комментарии : 592

@MariosMathTutoring 5 лет назад

If you would like to see another video I did regarding permutations see: How to Use Permutations and Combinations ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-NEGxh_D7yKU.html

@igopophamirkhan5941 5 лет назад

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.

@anilsharma-ev2my 3 года назад

How permutation and combination are related in magic square of 1 to 9 added upto 15 in all directions

@anilsharma-ev2my 3 года назад

What are total number of ways for writing the combination and permutation of magic square ??

@barrycolgan5671 3 года назад

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?

@rachelvanderlely6324 2 года назад

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.

@JoshuaDHarvey 5 лет назад

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!

@MariosMathTutoring 5 лет назад

You’re welcome Joshua! Glad my videos helped you! Thanks for commenting and letting me know!

@elizabethterrazas4131 3 года назад

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

@rseesr7743 4 года назад

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 :)

@MariosMathTutoring 4 года назад

Glad my videos have been helping you over the years! Thanks for letting me know and wishing you continued success with your studies!

@riyamarabo9320 2 года назад

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!

@particleonazock2246 3 года назад

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!

@dilipkn7339 3 года назад

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.

@goldribbons8738 3 года назад

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

@danielkelsosmith 4 месяца назад

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 🤝🏻

@MariosMathTutoring 4 месяца назад

You’re welcome !

@bunkryanna 4 года назад

Very realistic video. Just like how I come late for class, the lesson started before the video started.

@williamboucher 6 лет назад

Wow. You explained it so well! Thank you so much. Everything is now clearer.

@MariosMathTutoring 6 лет назад

Your welcome William! Glad my video helped you!

@esraamansour3405 Год назад

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.

@yelu5314 5 лет назад

It's very nice of you to put all these situations together for comparison! Very helpful, thanks!

@MariosMathTutoring 5 лет назад

You’re welcome Ye Lu! Glad my video compilation was helpful for you!

@streetbeats1672 3 года назад

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 !!

@jozuatjonatsoi3670 2 года назад

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.

@souljacem 4 года назад

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!

@MariosMathTutoring 4 года назад

Thanks Cem! Glad my video was helpful for you!

@cb27743 2 года назад

THIS VIDEO SAVED MY LIFE. FINALLY A BREAKDOWN OF DIFFERENT SCENERIOS!! INSTEAD OF NON SENSE QUESTIONS! THANK YOU

@sneha66a49 3 года назад

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 :)

@arahsala6602 2 года назад

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

@mrmvpvip 4 года назад

You're a such a great teacher, Mario! I'm grateful to have found your channel. Thanks so much!

@MariosMathTutoring 4 года назад

You’re welcome! Glad my videos are helping you!

@tradak14 Год назад

i also like the fact that you didn't perambulate or beat around the bush. nice job going straight to the point

@mohammedk5223 4 года назад

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

@MariosMathTutoring 4 года назад

Awesome! Glad my video helped you Yuki!

@lemuelchao4120 5 лет назад

This is the best explanation I have had regarding these topics! thank you for providing the video.

@MariosMathTutoring 5 лет назад

You’re welcome Lemuel! Glad my video helped you!

@fernandoventura7164 4 года назад

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

@MariosMathTutoring 4 года назад

Glad my permutation Video helped you Fernando!

@darrylros681 4 года назад

Im here watching 30 min before the exam and you put that all into my head good job. Thankss

@enricopucci5484 3 года назад

Thanks, this helped me clear out some complications and understand the whole concept.

@robertoparedes1650 6 лет назад

Amazing Lecture! You made these subjects VERY clear. Thank you so much for your help.

@MariosMathTutoring 6 лет назад

Your welcome Roberto! Glad my video helped you!

@nackyding 4 года назад

This is by far the best tutorial on RU-vid on permutations and combinations. Richard Feynman would be proud of you!

@MariosMathTutoring 4 года назад

Glad you liked the video Max!

@TheCaspian16 5 лет назад

Thank you, this was really comprehensive and well-explained.

@MariosMathTutoring 5 лет назад

You’re welcome! Glad you liked the video!

@savannaho4355 3 года назад

Thank you for giving a title to each section of the video!

@vaihirata43 2 года назад

Thank you. Love the visual and clear explanations.

@tasninnewaz6790 6 лет назад

Sir, Love from bangladesh. Your teaching is excellent and I have seen your many tutorial .

@MariosMathTutoring 6 лет назад

Great! Glad you are benefitting from my videos and channel!

@biancaortiz8641 3 года назад

Studying for the GRE and you saved my you-know-what. Thanks for breaking everything down for a linguist! :) It's clear as mud!

@MiMiBrokenbourgh 3 года назад

Not clear?

@Jonathansclone 5 лет назад

Super helpful and well-spoken! Thanks for the help Mario!

@MariosMathTutoring 5 лет назад

You’re welcome Jonathan! Glad my video helped you!

@atiflatif7233 5 лет назад

Simply Marvelous! Thanks a million for explaining it so well.

@MariosMathTutoring 5 лет назад

You’re welcome Atif! Glad you liked my explanation!

@ibrahimahmethan586 4 года назад

I would thank you from the bottom of my heart for making such a great tutorial

@MariosMathTutoring 4 года назад

You’re welcome Ibrahim! Glad you liked the video!

@leahdegruchy2338 3 года назад

This was wonderful. Thank you!

@gen2151 2 года назад

Me: Looks at discord for a second Him: A bunch of formulas on the whiteboard

@Zandorfun 4 года назад

Thanks for preparing me for a math quiz during quarantine! This really helped clear things up a lot.

@MariosMathTutoring 4 года назад

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.

@crackersnucker 11 месяцев назад

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.

@sanamadan6266 5 месяцев назад

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!

@MariosMathTutoring 5 месяцев назад

Best of luck!

@matrix-_-360 4 года назад

Mr. Mario our teacher sent this to watch because of Coronavirus we can't afford school. Thank you, Mr. Mario

@MariosMathTutoring 4 года назад

You’re welcome! Stay safe!

@rajastylez 3 года назад

No bs just straight teaching. Good stuff!

@robertkopf7861 4 года назад

What a wonderful way to explain permutations and combinations! Thank you so very much!!!

@MariosMathTutoring 4 года назад

You’re welcome Robert! Glad you liked the video!

@CCFlowYoga 3 года назад

Well done! Thank you, Mario!

@keshavmadhavan51 2 года назад

This channel is probably one of the great discoveries of mine on YT

@diggleda2952 5 лет назад

This video couldn’t have been any better. Thank you!

@MariosMathTutoring 5 лет назад

You’re welcome V1Gibby! Glad you liked the video!

@douglasspotts9665 2 года назад

What a wonderful service you are providing. Thank you, thank you.

@grachadash3860 6 лет назад

Thanks for helping me before the quiz! Now I understand everything!

@MariosMathTutoring 6 лет назад

Glad my video helped you! Good luck on your quiz!

@franciscoaguirre9169 5 лет назад

Finally! Where you been all my life? I'm no expert just yet, but I'm on my way thanks to you.

@MariosMathTutoring 5 лет назад

Glad you liked my video Francisco! Glad my videos are helping you!

@Jsishs 6 лет назад

Your classes are so helpful for me and you are literal talented.

@MariosMathTutoring 6 лет назад

I’m so glad my video lessons are helping you Yixin!

@user-nt4oo5qt1v 2 года назад

I understood everything, sir. Thank you so much!

@avanishkamak9498 4 года назад

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 :)

@MariosMathTutoring 4 года назад

Glad my video helped you Avanish!

@brandonpanuco8546 8 месяцев назад

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.

@mohinicoder 3 года назад

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

@audreykim73 5 лет назад

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!

@MariosMathTutoring 5 лет назад

You’re welcome Audrey Kim! Glad my video helped you and good luck with your summer class!

@liamaranda-michel9106 4 года назад

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!!

@MariosMathTutoring 4 года назад

You’re welcome Liam! Glad my video helped you! Good luck on your test!

@nattyasrat2078 5 лет назад

simply, you make it so easy to understand. Thank you!!!!

@MariosMathTutoring 5 лет назад

Glad my video simplified these concepts for you!

@basilhawamdeh593 4 года назад

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.

@MariosMathTutoring 4 года назад

Glad my video helped you Basil!

@meghna9922 5 лет назад

Thank u so much sir!!! It was very helpful and to the point👍

@MariosMathTutoring 5 лет назад

Glad my video helped you Meghna!

@user-yj3ur6zg9s 3 года назад

All Concepts Nicely put together in one video!!! Nice for a review when put at x1.5 speed

@ciaramist16 4 года назад

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

@MariosMathTutoring 4 года назад

Good luck on your test! Report back if you want and let us all know how it went.

@Daniel-ft9mp 3 года назад

this video is just awesome!! thank you

@thedeathofbirth0763 4 года назад

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!

@MariosMathTutoring 4 года назад

Glad you like my teaching style!

@nwidagpromise4765 3 года назад

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.

@nabeelahmed2502 3 года назад

Fantastic. The way you explain is awesome. i saw a number of videos but u satisfied me. Thanks.

@isaactesfaye7313 3 года назад

THANK YOU SO MUCH ALL YOUR VIDEOS ARE EXTREMELY HELPFUL

@prac-wv8jt 3 года назад

Thanks Mario. Very helpful video.

@swift_178 2 года назад

Thank you so much. This is a lifesaver.

@Wallucks. 6 лет назад

Very helpful, I understood most of it already but it makes for great revision before my exam! Thanks a lot!

@MariosMathTutoring 6 лет назад

You’re welcome Olivier! Glad it helped you review for your exam!

@Wallucks. 6 лет назад

@@MariosMathTutoring I got an A! Will definitely recommend your channel!

@MariosMathTutoring 6 лет назад

Congrats on your A! Great job!

@geraldmorales2091 3 года назад

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.

@amnanur7358 3 года назад

ikr totally agreed!!

@youssraserghini3509 2 года назад

Thank you Professor, your explanations were soo easy to understand. Subscribed

@tatendamadhuro5737 4 года назад

Thanks a lot Sir!That's really a great and simplified tutorial.

@MariosMathTutoring 4 года назад

You’re welcome Tatenda!

@zuggrr 2 года назад

This is amazing ! you helped me sooo much. Thank you sir.

@rchukkapalli1 4 года назад

Underrated channel. Just found it and subscribed to it. Please keep educating us.

@MariosMathTutoring 4 года назад

Thanks Rajendra!

@mariamsandroshvili8868 3 года назад

Thanks a lot! you are a great teacher!!!

@dushantpuri4476 4 года назад

I was taking an online math 2 class and the permutations and combination confused me but this video eliminated the confusion. Thank you Mario!

@MariosMathTutoring 4 года назад

You’re welcome Dushant!

@behailuasefa9257 3 года назад

who ever you are!! you have changed the way I look to probablity, THANKS...

@aubreycamachomd5717 5 лет назад

Very nicely done. Right to the point with brilliant clarity and abundant information.

@MariosMathTutoring 5 лет назад

Glad you liked my video Dr. Aubrey!

@XxCallMeChristyxX 6 лет назад

Thank you so much for your videos. They have helped me very much as an honors precalculus student!

@MariosMathTutoring 6 лет назад

Your welcome Christine! Glad my videos and channel have helped you!

@user-es6eo9dx6y 2 года назад

This was clear! thank you

@dr.mohamedshaat7445 3 года назад

great work prof, thanks a lot.

@lynnamin788 2 года назад

You really simplified it in the easiest way possible.

@preethigasara2212 5 лет назад

Thank you so much for the detailed explanation.

@MariosMathTutoring 5 лет назад

You’re welcome Preethiga!

@melonnelon855 5 лет назад

Wow! Teaching really is a gift. Thank you Sir

@MariosMathTutoring 5 лет назад

You’re welcome! Glad you liked the video!

@GoodLifeMafia-Music 3 года назад

Wow ... mind blown 🙌💯🔥

@TimeCheckOfficial 3 года назад

Thank you so much for this sir. It's very well explained and it helped me a lot. Keep it up sir.

@feint7213 4 года назад

This helped me a lot, Thank you so much my good sir! Subscribed for more math lessons :D

@MariosMathTutoring 4 года назад

Sonny, glad my video helped you! Welcome to the channel!

@graceakpoyoma Год назад

you really broke it down to my understanding

@trekwithwicky 5 лет назад

You're awesomeee...Thank You so much!!!!

@MariosMathTutoring 5 лет назад

You’re welcome Vicky! Glad you like my videos!

@RasTona_ 3 года назад

gotta luv this guy!

@SgtPeppersLonelyHeartsClubBand 2 года назад

This guy is beyond a genius.

@ethano9046 9 месяцев назад

Thank you so much, this was incredibly helpful and made the topic so much easier to understand!

@MariosMathTutoring 9 месяцев назад

Glad it was helpful!

@mondolawrancearmba 9 месяцев назад

Wow! An excellent explaination.... Thanks 👍.....Sir keep it up. .

@kamatabhay2 6 лет назад

Good way of teaching!now my concepts are getting cleared thanks a lot love from India

@MariosMathTutoring 6 лет назад

Glad you like my teaching style Abhay!

@ChetButtersworth Год назад

If only knew this guy existed in the time I was doing my finals 😖

@annshitote4665 2 года назад

Thank you so much am now at a better position to attempt any permutation and combination question

@amalqoran4743 3 года назад

Thank you so much you explained it so clear 👍👍👍

@gardenmenuuu 3 года назад

Great tutorials sir hope to see you having 1 million subs

@JosephJere-sw2sw 3 месяца назад

Am indeed on the moon with the way you teach sir