Permutations, Combinations & Probability (14 Word Problems)

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  • Опубліковано 29 січ 2025

КОМЕНТАРІ • 597

  • @kaylajohnson241
    @kaylajohnson241 10 місяців тому +73

    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!!

  • @백-k3j
    @백-k3j 4 роки тому +75

    The hero we need, but the hero we don't deserve....THANKS A TON!!!!!!!!!!!!! YOU ARE A LEGEND, AN ANGEL FROM THE SKY

  • @francisc909
    @francisc909 11 місяців тому +17

    fantastic that you put all these formulas together in one video, thanks!

  • @hydrolink5297
    @hydrolink5297 10 місяців тому +17

    I'm truly thankful people like you exist!

  • @MathTutorEdu
    @MathTutorEdu 3 роки тому +110

    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 😇

    • @ben2808
      @ben2808 2 роки тому +6

      Jesus Christ loves you

    • @Devasur69
      @Devasur69 Рік тому +3

      Yep cuz i am an indian jee students and problems in the jee exam are much more complex

    • @MathNINJA-hf5mv
      @MathNINJA-hf5mv Рік тому +4

      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

  • @_Ahmed_15
    @_Ahmed_15 4 роки тому +9

    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!

  • @jazhan3315
    @jazhan3315 2 роки тому +31

    Thank you so much for taking the time to make these videos! You're an incredible teacher, wishing lots of positivity your way 🙏👏

  • @drishtibaliga9168
    @drishtibaliga9168 4 роки тому +26

    As a Humanities student who is afraid of maths and hasn't learnt it in the past 4 years, and all of a sudden has it now as a major paper, these videos have helped a lot! Your teaching is brilliant! Thanks a ton!! :D

    • @ben2808
      @ben2808 2 роки тому

      Jesus Christ loves you

  • @pepperdrac
    @pepperdrac Рік тому +8

    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.

  • @HAMSTERKOMBATTIPSANDTRICKSDail
    @HAMSTERKOMBATTIPSANDTRICKSDail 11 місяців тому +1

    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

  • @marieli325
    @marieli325 4 роки тому +27

    Thank you! Youre helping me feel calmer and more confident about my mid term exams coming up! Thank you again!

  • @lordcezar4657
    @lordcezar4657 Рік тому +8

    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!)

    • @alexzalewski4894
      @alexzalewski4894 4 місяці тому

      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)

  • @saiharas
    @saiharas 2 місяці тому +1

    thank you so much for this. my professor is very unapproachable. as a student with a math learning disability this stuff is very hard for me. this just made it make sense. i need this course credit to apply to the program ive been pursuing for 3 years now and my final is worth 50% of my grade. i know im oversharing, but people like this deserve to know the lives they are affecting!!

    • @MariosMathTutoring
      @MariosMathTutoring  2 місяці тому

      You’re welcome! I’m glad you found the video helpful. Best of luck on your final!

  • @kirac3916
    @kirac3916 4 роки тому +58

    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!

  • @hetori9918
    @hetori9918 Рік тому +2

    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

  • @Lisi_Mxo
    @Lisi_Mxo 11 місяців тому +3

    Can't thank you enough. I can finally get some traction in my Stats course.

  • @consuela666
    @consuela666 3 роки тому +9

    Thank you so much for taking the time to post these videos. Your teaching style is very effective - exactly what I was looking for.

  • @nutritionbyelsa
    @nutritionbyelsa Рік тому +2

    the 14 word problems is what brought me into this video! thank youuuuuuuuuuuuuuuuu!!!!!!!!!!!!!!!!!!!!

  • @cademiller1121
    @cademiller1121 9 місяців тому +13

    not me prepping for quant interviews with this video lmfao. ur a life saver bro thank you

    • @user-wp5z3x4r8t
      @user-wp5z3x4r8t 6 місяців тому

      i wish you the best of luck man! crazy market right now

  • @JohnnyKnowles
    @JohnnyKnowles 3 роки тому +2

    This channel is lit🔥🙏🏽

  • @saiki1402
    @saiki1402 3 роки тому +32

    Not all capes wear heroes.

  • @rigs464
    @rigs464 4 роки тому +250

    Hello Mr. Mario I appreciate you making your videos, as they have helped me learn during this pandemic, I hope you have a good day :)

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +34

      Glad my videos are helping you Rigs! Thanks for letting me know!

    • @olotanna9627
      @olotanna9627 4 роки тому +8

      Thank you for your videos.. Really helped me alot since the general lockdown all over the world.. Thanks again.

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +10

      You’re welcome!

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +10

      Fahad, this other video I did should help your understanding of the concept better: Permutations Combinations Factorials & Probability ua-cam.com/video/TBnPkKxXPu8/v-deo.html

    • @youngmaredlyf
      @youngmaredlyf 3 роки тому

      @@MariosMathTutoring sir need help

  • @aphiwemkhwanazi2041
    @aphiwemkhwanazi2041 4 роки тому +8

    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.

  • @yuyang7407
    @yuyang7407 7 місяців тому +1

    Excellent video! I have been confused by permutation for days, this video's questions had helped me so much!!!!!!! Thank you so much for making such a wonderful lesson

  • @anbudevir484
    @anbudevir484 3 місяці тому +1

    I've been struggling with this topic as my exams are near by but u sir made it crystal clear.Thanks a lot sir😊

    • @MariosMathTutoring
      @MariosMathTutoring  3 місяці тому

      You’re welcome! I’m happy to hear my video helped you.

  • @visheshtiwari1042
    @visheshtiwari1042 4 роки тому

    Super video! I applauded for ₹40.00 👏

  • @galaadventures
    @galaadventures 2 місяці тому +1

    thank you so much!! you are a gift from heaven!! your explanations are so easy to understand!!!

  • @shortstvseries
    @shortstvseries 4 місяці тому +1

    Cant stress enough how much this vid helped me. Thank you!!!

  • @acevirku2701
    @acevirku2701 Рік тому

    Mr. Mario, thank you. this is the video I wanted to find. out of the hundreds I've gone through, this is the video I needed. Thank you

  • @AvinashKumar-bd9qt
    @AvinashKumar-bd9qt Рік тому

    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

  • @nsjwnnw7680
    @nsjwnnw7680 Рік тому +3

    i don't usually comment but this video is just gold

  • @Templar_0x
    @Templar_0x 9 місяців тому

    I have my end of semester exam in 2 hours, every exam in this semester, I watch this video before I go write, helps everytime, gives me the confidence that I am fully prepared. Bless you

  • @violettiourestinpeacetechn4742
    @violettiourestinpeacetechn4742 4 роки тому +4

    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!

    • @ben2808
      @ben2808 2 роки тому

      Jesus Christ loves you

  • @jadkhalil9263
    @jadkhalil9263 2 роки тому +3

    really great video to solidify your understanding of the fundamentals of probability. thanks, Mr. Mario !!

  • @superganger4383
    @superganger4383 3 місяці тому +1

    Woah this really opened up my mind. Plz don't die yet 🙏

  • @calebmcdaniels8535
    @calebmcdaniels8535 Рік тому

    one of the best math videos ever made

  • @mohamudali3138
    @mohamudali3138 3 роки тому

    This on of the most effective ways of teaching . 100 out of 100 greetings from Cyprus

  • @persephone2610
    @persephone2610 3 роки тому

    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!!

  • @milakoi7832
    @milakoi7832 Рік тому

    I am so glad that your videos exist!! Thank youuuuu

  • @fghjvbnm-w5u
    @fghjvbnm-w5u Рік тому +2

    Cheers for this descriptive lesson, I learnt SOOO much!!!!

  • @BlitzHitz
    @BlitzHitz 8 місяців тому

    My score on my final exam in Discrete Mathematics was 100, and this video supplemented my preparation. Thank you again.

  • @alexissangabriel8143
    @alexissangabriel8143 3 роки тому

    Hi mr. Mario i just want to say my appreciation to you 😊 when my teacher say that we should watch a videos about or topic i always want to watch your videos because it always help me a lot 😊 thank you 😊 hope you read my message of appreciation ☺️

  • @surativeplaysgames6922
    @surativeplaysgames6922 Рік тому +1

    cant thank you enough for this ive been struggling with this for a while and this video was the breakthrough for me :)

  • @dharmarajwadeyar1767
    @dharmarajwadeyar1767 2 роки тому +1

    superrr exaplanationn sirr thnxxx

  • @kylehostetter13
    @kylehostetter13 11 місяців тому

    Thank you so much for the practice problems!! These are great and are really helping me combat probability!

  • @johnnylolo667
    @johnnylolo667 2 роки тому

    Very helpful..... IM passing uni because of this guy!! big ups toko.

  • @wannalockin
    @wannalockin Рік тому

    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!

  • @Daniel-ft9mp
    @Daniel-ft9mp 3 роки тому +1

    find this video while studying for GMAT, so so so helpful!

  • @zelihaklc6413
    @zelihaklc6413 3 роки тому +1

    I'm a Turk but I love this channel, you explain it very well

  • @itzuey
    @itzuey 2 роки тому

    Thank you. This will help me alot since I have exam about this topic in 2 days.

  • @tanviapte6238
    @tanviapte6238 2 роки тому

    this explanation helped me so much. I am so thankful Mr. Mario
    !

  • @lizzy2991
    @lizzy2991 Рік тому

    Excellent video, thank you. The examples really helped clarify the different formulas and the practice was useful.

  • @LeviSawyerPiano
    @LeviSawyerPiano 2 роки тому

    I got a stats exam in an hour and this helps substantially!

  • @pamelayvonne6265
    @pamelayvonne6265 3 роки тому

    hello mr.mario i'm pamela from malaysia,thank you for sharing this video,it is really helpfull for my 3rd TERM Mathematics T😊😊😊

  • @joikonkazama7996
    @joikonkazama7996 4 роки тому +5

    Thank you so much for this lesson, I hope you continue making great content like this sir.

    • @ben2808
      @ben2808 2 роки тому

      Jesus Christ loves you

  • @christopherrobin8383
    @christopherrobin8383 2 роки тому +2

    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.

  • @yashraj8028
    @yashraj8028 3 роки тому

    So calming 😇☺. Your teaching is just so good and soothing.

  • @EngSeifHabashy
    @EngSeifHabashy 3 роки тому +1

    I've been struggling with this
    You're a great teacher

  • @andreia8812
    @andreia8812 6 днів тому

    thank you for this, it helped me so much before a big test!!

  • @enashameed471
    @enashameed471 4 роки тому +1

    Thanks جزاك الله خيرا ❤

  • @sahebnag9147
    @sahebnag9147 3 роки тому

    A very clear and detail video. My concept is cleared. thank you.

  • @Scienceiscool-h4r
    @Scienceiscool-h4r 5 місяців тому

    Thank you so much for your help. I understand this concept so much better now.

  • @coderfek
    @coderfek 3 роки тому +1

    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.

  • @BhekiMagagula-se6lw
    @BhekiMagagula-se6lw 10 місяців тому

    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🎉👑❤

  • @brunodeclercq646
    @brunodeclercq646 3 роки тому

    Thank you Mr. Mario! Loved the video, the geometry problem and the circle problem were challenging...

  • @YusufDogan-pu6tu
    @YusufDogan-pu6tu 2 місяці тому +1

    God bless you sir

  • @pipertripp
    @pipertripp 2 роки тому

    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.

  • @pliequerencia
    @pliequerencia 3 роки тому

    Thank you for all these questions and thoughtful explanations

  • @rkok8338
    @rkok8338 2 роки тому

    thank you so much for the video!! easy to understand and exactly what I face in exams!! God bless you!

  • @Manisha-mz3ni
    @Manisha-mz3ni 8 місяців тому

    Best video ❤ covers all types pf questions asked in exams. Thankyou sir from India

  • @tharushipathirana
    @tharushipathirana 2 місяці тому +1

    thankyou you explained it really well :)

  • @annacernakova7383
    @annacernakova7383 Рік тому

    Great video! I’m very grateful it got recommended.

  • @clivegreen7139
    @clivegreen7139 3 місяці тому

    Great video. Thanks for posting this!
    Arguably, the answer to question 10 is 20,158. The question asks for NEW "words". Perhaps distinct would be a better adjective to use in this case, as it doesn't disqualify GEOMETRY itself.

  • @lukhanyozimela9715
    @lukhanyozimela9715 2 місяці тому +1

    For Question 7 (11:15) , which is the total favourable outcomes 100C4. If in total there are 100 + 4 friends that all ran for the committee? so should it not then be 104C4?

    • @lukhanyozimela9715
      @lukhanyozimela9715 2 місяці тому +1

      Or is it saying 100 in total (as in the 4 people are included in the "100 people are running" statement)

  • @Isaaaabel25
    @Isaaaabel25 3 роки тому +2

    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.

  • @gh3stly627
    @gh3stly627 2 роки тому

    Thank you so much! I understand these types of problems better now!

  • @zakwaannn
    @zakwaannn Рік тому

    Thank you so much for this video, I find your video is the easiest way to understand because a lot of example is given :) Keep up the good work! I like the way you teach!

  • @jules4349
    @jules4349 Рік тому

    You opened my eyes, thank you sir!

  • @officialmanymar7389
    @officialmanymar7389 2 роки тому

    Thank you Mr Mario...the lesson has been very helpful

  • @phenomenally2575
    @phenomenally2575 9 місяців тому

    Thank you sir for such an understanding into these tricky concepts.❤

  • @Useruny8097
    @Useruny8097 8 місяців тому

    Thank you sir, your video was really helpful. I understand the topic much better.

  • @TaybreeAnnTrimble
    @TaybreeAnnTrimble Рік тому

    Seriously the best video!!! 😎👏

  • @oskarreinfelds2033
    @oskarreinfelds2033 3 роки тому

    Really appreciate the video Mr. Mario!
    Thank you

  • @pixeletral734
    @pixeletral734 3 роки тому

    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.

    • @ben2808
      @ben2808 2 роки тому

      Jesus Christ loves you

  • @lynguyen709
    @lynguyen709 3 роки тому

    Your explanation and each example are very helpful and easy to follow. Thank you so much for a meaningful lecture!

  • @Asad_Ullah
    @Asad_Ullah 3 роки тому

    Made my day you teacher!!!!!

  • @sayori4856
    @sayori4856 3 роки тому

    Thank you, this is helpful with my olympiad

  • @im_OfficialYS
    @im_OfficialYS 2 місяці тому +1

    thank you so much

  • @padmajachallagundla5486
    @padmajachallagundla5486 3 роки тому +1

    As usual a very good explanation sir.I really admire you 😊😊

  • @Leonellktown
    @Leonellktown 2 роки тому

    great video

  • @abdulwahididris6543
    @abdulwahididris6543 Рік тому

    Thanks sir , indeed you're good teacher 💪.

  • @suhasy9542
    @suhasy9542 4 роки тому +1

    thank u it helped me easy to study for my exam

  • @NahiTaa-q6f
    @NahiTaa-q6f 3 місяці тому +1

    Your the best❤❤❤

  • @abdulkarimawajeakuki4691
    @abdulkarimawajeakuki4691 2 роки тому

    That's great. I'm watching from Nigeria

  • @remixowlz
    @remixowlz 3 роки тому +3

    Hi Mario I need your help with a question:
    How many ways are there to form 5 triplets (group of 3) in a class of 15 students? its similar to 5:45 ..
    Thank you!

    • @marcosgonzalez594
      @marcosgonzalez594 2 роки тому

      15C5=3003 this is because the order doesn’t matter so we use the combination formula.

    • @darbyl3872
      @darbyl3872 2 роки тому

      @@marcosgonzalez594 That's incorrect. First choose 3 from 15, then choose 3 from 12 remaining, etc. These factors are multiplied (the counting principle).
      (15C3)(12C3)...(3C3) =
      15! / ((5)3!) =
      15!/30 ≈ 43.6 billion.

    • @nicolerico20
      @nicolerico20 2 роки тому

      @@darbyl3872 Look at your answer and ask yourself if that makes sense

  • @soeunjeon5392
    @soeunjeon5392 8 місяців тому

    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

    • @MariosMathTutoring
      @MariosMathTutoring  8 місяців тому +1

      When you divide by r! You are dividing out the multiplicities since the order doesn’t matter.

  • @SS-pn7ss
    @SS-pn7ss 2 роки тому

    Thank you so much for this very helpful video, it includes all the good ideas.

  • @realtwizzykex
    @realtwizzykex 21 день тому

    this is acually a great video i cant lie

  • @once822
    @once822 3 роки тому +4

    THANK U SO MUCHHHHHHH! REALLY APPRECIATE IT

  • @maduanusiijeoma3105
    @maduanusiijeoma3105 5 місяців тому

    Thank you so much sir for this video.