Permutations, Combinations & Probability (14 Word Problems)
Вставка
- Опубліковано 27 вер 2024
- Learn how to work with permutations, combinations and probability in the 14 word problems we go through in this video by Mario's Math Tutoring. We discuss factorials and how to simplify factorial expressions as well as the fundamental counting principle. We also discuss the formulas for nPr and nCr as they relate to permutations and combinations. We go through different ways to approach these problems.
Related Videos to Help You Succeed!:
Here is an in-depth video going over Permutations, Combinations, Factorials and Probability:
• Permutations Combinati...
Take Your Learning to the Next Level with Me!:
Subscribe to the Channel
bit.ly/Subscrib...
Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)
mariosmathtuto...
Learn Algebra 1 Video Course
mariosmathtuto...
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
mariosmathtuto...
* 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)
www.mariosmath...
Support Mario on Patreon here: / mariosmathtutoring
Thank you! I am relatively good at math however, the way this is being taught to me by my professor is almost like rocket science. There is no room for asking questions because the professor will belittle you. Your videos help tremendously and allow me to feel a bit more confident!!
I’m glad to hear my videos are helping you.
The hero we need, but the hero we don't deserve....THANKS A TON!!!!!!!!!!!!! YOU ARE A LEGEND, AN ANGEL FROM THE SKY
Even though permutations and combinations can be really tough, but I find it interesting as this topic can be easily relate to the real life situation. Definitely one of the best explanation Mr. Mario 😇
Jesus Christ loves you
Yep cuz i am an indian jee students and problems in the jee exam are much more complex
and you had to mention that they are tough - don't shape your perception as if you are doing something unprecedented instead keep it easy and fun for better learning - unnecessary stress from performance anxiety and perceptive load & hardship decreases productivity alot
not me prepping for quant interviews with this video lmfao. ur a life saver bro thank you
i wish you the best of luck man! crazy market right now
Thank you so much for taking the time to make these videos! You're an incredible teacher, wishing lots of positivity your way 🙏👏
Can't thank you enough. I can finally get some traction in my Stats course.
Great to hear!
Jesus Christ loves you
The Lord loves you too!
Can this be a joke
He's straight
LoL
@@ben2808 i aint gay
Thank you so much for doing this video! Combinations and permutations were two concepts I never felt taught how to apply. This video will help me a lot with standardized testing!
3:56
Thank you! Youre helping me feel calmer and more confident about my mid term exams coming up! Thank you again!
This one actually teaches you how to do a variety of permutations and combination questions as related to probability! Nice! All the other ones I've seen don't do that. They do an easier question similar to the one at 14:17 and end it at that.
I just want to thank you for your permutation and combinations and probablity videos. I've watched all of them and they're the best videos on UA-cam that finally helped me understand truly what they are how to approach and solve them instead of plug and playing the formulas. Thank you!
the 14 word problems is what brought me into this video! thank youuuuuuuuuuuuuuuuu!!!!!!!!!!!!!!!!!!!!
Watching this now due to due to my maths test at 8am and I haven't felt more confident about this topic. Respect man. A go take am as ei dey atleast yawa no go gas for my side
😂 na we all ya boi all ya boi make man joh write dey test.
this one is the hardest in basic math I just can not understand but memorize the ways to solve and I believe even the ones who made questions can not solve other new quizzes cause I never seen someone on YT can explain them clearly
you actually saved me from leaving the section blank in the exam to being confident i can ace it. thank you so much sir u the best.
6:50 Number 4 is not complete. Unless the question is vague, I understand you mean grouping 20 players into teams of 5. This is actually very common in soccer training - forming, maybe 3 teams of 6 each out of 18. These teams would then train seperately. Without restrictions, The first set can be chosen in 20C5 ways (leaving 15), the next can then be chosen in 15C5 ways, the third set in 10C5 ways and the final set of five players form a team in themselves (that means there is no selection to be made, 1 way). Total selection is 20C5 * 15C5*10C5 = 20/(5!5!5!5!)
no, because the question is how many unique teams could u make, many unique teams could be made of 20 players if the teamsize is 5.
making it 20 C 5 (how many ways could u chose 5 out of the 20 pool)
Thank you so much for taking the time to post these videos. Your teaching style is very effective - exactly what I was looking for.
Thank you for your video. I have a question.
For no.5, I solved it as typical counting, and I got different answers. Can you explain where did I do wrong?
(Not Replacing) 1/6*1/6*1/6=1/216
(Replacing) 1/6*1/5*1/4=1/120
Thank you so much for your help. I understand this concept so much better now.
Glad it was helpful!
really great video to solidify your understanding of the fundamentals of probability. thanks, Mr. Mario !!
Amazing Mr. Mario. Before watching this, all of the questions I tried to solve were all wrong and failed. Right after I watched this, I received one correct so far :D Thank you for making this video; I hope you and your family are safe during quarantine. Have a good day!
Jesus Christ loves you
I'm a Turk but I love this channel, you explain it very well
superrr exaplanationn sirr thnxxx
one of the best math videos ever made
You are a life saver❤😊thank you so much for taking your time to help students that need these videos like me❤❤you are the best tutor ever🎉👑❤
You are so welcome!
I didn't seem to get a grasp of combinations/permutations for a very long time until I watched your video!
cant thank you enough for this ive been struggling with this for a while and this video was the breakthrough for me :)
Glad it helped!
Thank you sir for such an understanding into these tricky concepts.❤
You’re welcome
Thanks جزاك الله خيرا ❤
THANK YOU SO MUCH SIR! my classmates were so smart so the lessons were fast but im a slow learner so i never understood the lessons. YOURE A LIFESAVER SIR!!
Mr mario was watching your videos yesterday and just to let you know youre better than my private tutor. ive grapsed the concept a bit but im still struggling. hope you can help me more
This on of the most effective ways of teaching . 100 out of 100 greetings from Cyprus
find this video while studying for GMAT, so so so helpful!
I am so glad that your videos exist!! Thank youuuuu
Very helpful..... IM passing uni because of this guy!! big ups toko.
Thank you. This will help me alot since I have exam about this topic in 2 days.
Thank you so much for this lesson, I hope you continue making great content like this sir.
Jesus Christ loves you
hello mr.mario i'm pamela from malaysia,thank you for sharing this video,it is really helpfull for my 3rd TERM Mathematics T😊😊😊
hi....appreciated so much helped me understand it more
Thank you so much sir for this video.
I've been struggling with this
You're a great teacher
Thank you so much sir! I love your teaching style, it made everything really clear and easy to understand.Please keep doing what you're doing!
Thank you, I will
thank u it helped me easy to study for my exam
I like maths more thanks to you sir. Thanks a lot
Glad my videos have been able to help you!
THANK YOU SO MUCH 😭😭😭🩷🩷🩷🩷
Great video! I’m very grateful it got recommended.
Glad you liked it!
Thank you, this is helpful with my olympiad
Excellent video, thank you. The examples really helped clarify the different formulas and the practice was useful.
Glad it was helpful!
I got a stats exam in an hour and this helps substantially!
thank you so much for the video!! easy to understand and exactly what I face in exams!! God bless you!
Thank you so much! I would love to know why this combination formula's made that way. I am curious why we divide by r
When you divide by r! You are dividing out the multiplicities since the order doesn’t matter.
this explanation helped me so much. I am so thankful Mr. Mario
!
Very helpful! Thanks much for putting this together. It's nice to have problems to pause and work and then compare the answer, and more importantly, the thought process.
Thank you so much for this video.
You are so welcome!
You opened my eyes, thank you sir!
Glad to hear it!
So calming 😇☺. Your teaching is just so good and soothing.
A very clear and detail video. My concept is cleared. thank you.
Thank you so much sir. I was stuck in this chapter for a month. After watching your lesson, I escape.
Excellent
Made my day you teacher!!!!!
That's what I was searching for. Thanks for clearing my concepts. One question: can u solve a problem which asks at least or atmost number of permutations.
If you mentioned the words draw exactly “cat” then order is implied hence permutation is alluded. To use combination would be confusing to a student who is recently advised to discriminate between order matter and order does not matter. I am not saying 3c3 is wrong , I am saying in the eyes of a learner there is a seeming contradiction.
You just want to draw A, C, and T within 3 draws. Order doesn't matter, whether you draw C first then A second or A first then C second, it's all the same; hence, order doesn't matter.
You just care about having those 3 specific letters after your draws, the order they're pulled out of the hat doesn't matter.
Even of you do permutation: 3p3/6p3, it would still equal to 1/20.
@@xiuxiu1108yes but there are multiple ways to do that. You could draw act or tac. These should all be part of the probability
The explanation Mr. Mario gave made a lot of sense but I'm still a bit confused... I'm still not really getting why we need to use combinations here... is it alright to solve this using normal probability? Like doing 1/6 x 1/5 x 1/4?
your videos mainly are helpful for teachers and students.
Good sir, you are a GOD thank you so much!
thank you
Welcome!
Great video! I think question 4 can also act as a good example for replacement/non-replacement probability, as well as the order in which the specific cards are chosen.
You r my superhero
Thank you so much!!!
You're welcome!
THANK YOU I HAVE AN EXAM TOMORROW 🙏
Thanks sir , indeed you're good teacher 💪.
professor X
amazing how you explain
Sir, thank you so much for the teaching. My thought for #4 is 1/6x1/5x1/4=120. Would you tell me why I was wrong?
thank you, Mr. Mario. the videos are great and the action of going through 14 unique questions really helps as you explain with much clarity.
Jesus Christ loves you
Watching this before my stats & probability tutor interview..i need to demonstrate how I would solve problems. Thank you! this section was a little confusing but the way you explain it helps so much.
Awesome Awesome Awesome, exactly what I needed!
Thank you for saving my grades. 😁
Happy to help!
Thank you so much for this very helpful video, it includes all the good ideas.
I appreciate your hardworking keep going ❤
Thank you so much 😀
God bless you!
i appreciate your work
Thank you to your video tutorial. It is very helpful
As usual a very good explanation sir.I really admire you 😊😊
Thanks a lot
Thank you very much for this, it's been very helpful!
Pls do you have a video of explaining the basics
thank you so much! this has helped me tremendously !!
My favourite sir , your teaching is so clear and understandable
Thanks Mohd!
Excellent!
Helpful video. Very thorough
Very helpful video, thank you so much!
Seriously the best video!!! 😎👏
thank you so much for this! helped me a lot
u da real goat. thanks!
Excellent explaination
Glad it was helpful!
@@MariosMathTutoring 😄
Thank you!
You're welcome!
Exam tomorrow THANK YOU SIR
Most welcome
This is a good intro or review of this stuff. Very helpful. Thank you!
perfectly done ..............
Yo just totally saved my life!!!
Really good video, thank you
Glad you liked it!
Hi Mario, can you please show me how to expand by hand #4? I'm struggling to "see" 20!/15!5!. thank you sir