Permutations Combinations Factorials & Probability

[@MariosMathTutoring]

If you would like to see another video I did regarding permutations see: How to Use Permutations and Combinations kzbin.info/www/bejne/hHaqqZuVeZysgbc

[@igopophamirkhan5941]

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]

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

[@anilsharma-ev2my]

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

[@barrycolgan5671]

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]

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]

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]

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

[@elizabethterrazas4131]

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]

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]

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

[@riyamarabo9320]

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!

[@cb27743]

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

[@danielkelsosmith]

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]

You’re welcome !

[@bunkryanna]

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

[@souljacem]

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]

Thanks Cem! Glad my video was helpful for you!

[@williamboucher]

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

[@MariosMathTutoring]

Your welcome William! Glad my video helped you!

[@esraamansour3405]

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.

[@dilipkn7339]

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.

[@raycaruso8026]

I'm middle-aged and never studied this topic before. However, after watching your videos I now feel confident about including probability calculations in the new word game I have devised.

[@MariosMathTutoring]

Wonderful!

[@mohammedk5223]

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]

Awesome! Glad my video helped you Yuki!

[@yelu5314]

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

[@MariosMathTutoring]

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

[@goldribbons8738]

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

[@johntilelli]

Stumbled on this video mid way through my grad level stats course and everything finally started to make sense. Thank you. Not sure how I missed such a fundamental concept.

[@MariosMathTutoring]

Glad the video helped you understand these fundamental concepts!

[@streetbeats1672]

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 !!

[@particleonazock2246]

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!

[@nackyding]

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

[@MariosMathTutoring]

Glad you liked the video Max!

[@thedeathofbirth0763]

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]

Glad you like my teaching style!

[@franciscoaguirre9169]

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

[@MariosMathTutoring]

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

[@crackersnucker]

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.

[@darrylros681]

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

[@biancaortiz8641]

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]

Not clear?

[@audreykim73]

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]

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

[@rajastylez]

No bs just straight teaching. Good stuff!

[@dushantpuri4476]

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]

You’re welcome Dushant!

[@sanamadan6266]

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]

Best of luck!

[@Ab3sb1l1c0]

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]

Glad my permutation Video helped you Fernando!

[@ciaramist16]

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]

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

[@brandonpanuco8546]

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.

[@keshavmadhavan51]

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

[@liamaranda-michel9106]

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]

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

[@tasninnewaz6790]

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

[@MariosMathTutoring]

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

[@behailuasefa9257]

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

[@theperfectshot25]

From India Finest Video I saw On Internet The internet today Thankyou !!

[@MariosMathTutoring]

You’re welcome!

[@geraldmorales2091]

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]

ikr totally agreed!!

[@lynnamin788]

You really simplified it in the easiest way possible.

[@tradak14]

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

[@Zandorfun]

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

[@MariosMathTutoring]

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.

[@evanmukerjee6066]

I GOT A HUNDRED ON MY MATH EXAM BECAUSE OF THIS VIDEO. Thank you sooooo much for exposing this lesson. You made it so clear and easy for me to learn thank you so much !!

[@mohinicoder]

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

[@robertkopf7861]

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

[@MariosMathTutoring]

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

[@douglasspotts9665]

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

[@TheCaspian16]

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

[@MariosMathTutoring]

You’re welcome! Glad you liked the video!

[@sneha66a49]

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 :)

[@Jsishs]

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

[@MariosMathTutoring]

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

[@avanishkamak9498]

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]

Glad my video helped you Avanish!

[@matrix-_-360]

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

[@MariosMathTutoring]

You’re welcome! Stay safe!

[@mrmvpvip]

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

[@MariosMathTutoring]

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

[@lemuelchao4120]

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

[@MariosMathTutoring]

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

[@rchukkapalli1]

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

[@MariosMathTutoring]

Thanks Rajendra!

[@arahsala6602]

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

[@gabs0149]

I never learn anything from my teachers in college classes. This guy breaks it down FOR FREE on youtube. God bless. I hope to pass my next exam thanks to you.

[@MariosMathTutoring]

You’re welcome Gabs577! Good luck on your exam!

[@grachadash3860]

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

[@MariosMathTutoring]

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

[@vedantgoswami4200]

u r amazing, plz come to india not only u will be rolling in wealth but indians will LOVE U AND THE SUBTLE WAY U CAN TEACH

[@ninakay1]

thank you mario!

[@SgtPeppersLonelyHeartsClubBand]

This guy is beyond a genius.

[@leylatairova3003]

Thank you for the great explanation. I am a teacher and I really enjoyed watching this video

[@MariosMathTutoring]

Awesome! Glad you liked it!

[@kennethokai601]

Really like the way he teaches. Very understanding

[@MariosMathTutoring]

Glad you like my teaching style Kenneth!

[@diggleda2952]

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

[@MariosMathTutoring]

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

[@basilhawamdeh593]

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]

Glad my video helped you Basil!

[@RaeTheActuary]

Hi Mario. Thanks for helping. Am currently doing Actuarial science and we are doing probability. Thanks for helping

[@MariosMathTutoring]

Happy to help!

[@Wallucks.]

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

[@MariosMathTutoring]

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

[@Wallucks.]

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

[@MariosMathTutoring]

Congrats on your A! Great job!

[@annshitote4665]

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

[@savannaho4355]

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

[@nwidagpromise4765]

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.

[@gen2151]

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

[@yuanjiang6549]

Your teaching is excellent . Easy to understand and more practical. Great teacher

[@MariosMathTutoring]

Glad you like my teaching style Yuan Jiang!

[@nabeelahmed2502]

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

[@aubreycamachomd5717]

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

[@MariosMathTutoring]

Glad you liked my video Dr. Aubrey!

[@kuretasu-san3252]

Great video on the fundamentals of combinatorics. I did have a bit of a grey area in my understanding on the very last deck question, for, say, a) all are diamonds, why do we not account for choosing 13 diamonds out of 52 cards and then 5 diamonds out of those 13 in our dealt hand.

[@JosephJere-sw2sw]

Am indeed on the moon with the way you teach sir

[@kamatabhay2]

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

[@MariosMathTutoring]

Glad you like my teaching style Abhay!

[@saidulislam4946]

THANKS A LOT !!! OMG I APPRECIATE IT A LOT. YOU"RE LITERALLY A LIFE SAVER, SIR. MY DEEPEST RESPECT FOR YOU.

[@malihafarzana]

I KNOW RIGHT!!!

[@saidulislam4946]

@@malihafarzana ahahah

[@melonnelon855]

Wow! Teaching really is a gift. Thank you Sir

[@MariosMathTutoring]

You’re welcome! Glad you liked the video!

[@ibrahimahmethan586]

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

[@MariosMathTutoring]

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

[@백-k3j]

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

[@ayanaxhye]

Combinations - unique outcomes. -> Divide out the repeats Permutations - outcomes where order matters. -> Can have ‘at’ and ‘ta’.

[@sin_2]

Training english and math at the same time is a great tactic for my opinion, nice video btw.

[@MariosMathTutoring]

Glad you liked the video!

[@graceakpoyoma]

you really broke it down to my understanding

[@vaihirata43]

Thank you. Love the visual and clear explanations.

[@enricopucci5484]

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

[@tatendamadhuro5737]

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

[@MariosMathTutoring]

You’re welcome Tatenda!

[@ethano9046]

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

[@MariosMathTutoring]

Glad it was helpful!

[@josephinetondo5076]

Great video...the topic was kinda difficult but as the presentor gave more samples, its clear to understand...from Philippines

[@MariosMathTutoring]

Glad my video helped you Josephine!

[@ссссс-н8с]

I understood everything, sir. Thank you so much!

[@camiweber1136]

Thank you so much this actually helped me so much I missed a couple days of school and this made me really happy I could understand 💞💞💞

[@MariosMathTutoring]

Glad it helped!

[@robertoparedes1650]

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

[@MariosMathTutoring]

Your welcome Roberto! Glad my video helped you!

[@the_singhrv]

i am from india , i like your teaching methods....

[@ChetButtersworth]

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

[@leahdegruchy2338]

This was wonderful. Thank you!

[@momlifetx]

Mario, I have this problem and I cannot figure out how they got the probability. Can you help? Maryvale High School is starting a freshman mentoring program. There are eight seniors, twelve juniors, and four sophomores signed up to mentor. Ten mentors will be chosen for the school year. Round answers to three decimal places. What are the total number of ways to choose ten mentors from the group of seniors, juniors, and sophomores? Answer: 1,961,256 What is the probability that the mentors will be five seniors, three juniors, and two sophomores?

[@yohanatheimmortal1246]

probably a bit late but the answer i got was 0.037

[@XxCallMeChristyxX]

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

[@MariosMathTutoring]

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

[@avipatel1534]

this is everything you need to know for the math level 2 exam

[@Brianbravo2000]

honestly bro

[@isaactesfaye7313]

THANK YOU SO MUCH ALL YOUR VIDEOS ARE EXTREMELY HELPFUL

[@Jonathansclone]

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

[@MariosMathTutoring]

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

[@simontran1901]

Came in clutch Mario appreciate it

[@MariosMathTutoring]

You’re welcome Simon!

[@christiancarter255]

Thank you, sir. I appreciate your approach and teaching skills.

[@MariosMathTutoring]

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