Art of Problem Solving: Venn Diagrams with Two Categories

Поделиться
HTML-код
  • Опубликовано: 8 фев 2025
  • Art of Problem Solving's Richard Rusczyk introduces 2-circle Venn diagrams, and using subtraction as a counting technique.
    This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials:
    📚 AoPS Prealgebra Textbook: aops.com/store...
    🖥️ AoPS Prealgebra 1 Course (Textbook Chapters 1-7): aops.com/schoo...
    🖥️ AoPS Prealgebra 2 Course (Textbook Chapters 8-15): aops.com/schoo...
    More interested in counting? Checkout our Introduction to Counting & Probability materials:
    📚 AoPS Introduction to Counting & Probability Textbook:
    aops.com/store...
    🖥️ AoPS Introduction to Counting & Probability Course:
    aops.com/schoo...
    🔔 Subscribe to our channel for more engaging math videos and updates

Комментарии • 586

  • @theanimationkingdom4
    @theanimationkingdom4 11 месяцев назад +59

    12 years ago.. and this was the best explanation i have ever watched

  • @pawelsosnowski6282
    @pawelsosnowski6282 10 лет назад +351

    i dont usually comment on videos, but your way of explaining venn diagrams is actually great! thanks for sharing this and I wish you best of luck!

  • @jessicaxi4000
    @jessicaxi4000 4 года назад +130

    Billie Eilish: bad guy
    Seth Everman: bald guy
    Richard Rusczyk: math guy
    John: sav guy

    • @HopenTheGuyWhoLikesMen
      @HopenTheGuyWhoLikesMen 10 месяцев назад +1

      Billie Eilish isn't a guy

    • @jessicaxi4000
      @jessicaxi4000 10 месяцев назад

      @@HopenTheGuyWhoLikesMen one of her most famous songs goes "I'm the bad guy (duh)"

    • @Abigorangepumpkin
      @Abigorangepumpkin 8 месяцев назад

      well, when do singers sing the exact truth? :

    • @Charlieemcgovern
      @Charlieemcgovern 8 месяцев назад

      no way u answered 3 years later😂

    • @Charlieemcgovern
      @Charlieemcgovern 8 месяцев назад

      @@HopenTheGuyWhoLikesMenhow do u not know bad guy

  • @liomcgylvie2723
    @liomcgylvie2723 6 лет назад +130

    Omg, my teacher spent almost 40 minutes explaining this to me and I didn't understand until i saw this, thank you so much❤❤❤

  • @hotchoclatedrink9455
    @hotchoclatedrink9455 5 лет назад +64

    I will admit this explaination is simplier then my teacher's

  • @ninafreebird3444
    @ninafreebird3444 5 лет назад +17

    I love your personality & way of teaching. Thanks for posting. In short, you're the man.

  • @Sarahgw
    @Sarahgw Год назад +5

    Thank you for this video!! I’ve watched a ton of videos but no one out how they solved for it. After I followed your video I was finally able to master the problems. I had been failing on for 2 days. Making it more simplistic like this and showing the actual work is so incredibly helpful.

  • @Ro_21
    @Ro_21 3 года назад +5

    I love the way u teach, u don’t understand how much this has helped

  • @ahirraosakshi
    @ahirraosakshi 3 года назад +52

    If only I had professors like you for my math lectures.. I would have never hated it...

  • @crisantorivera14
    @crisantorivera14 5 лет назад +45

    This video why i no longer feared Math in my next exams.

  • @rayasimpao2819
    @rayasimpao2819 7 лет назад +503

    johns a flipping savage

  • @reiyuu3624
    @reiyuu3624 5 лет назад +12

    You have no idea how much this means to me. Thank you. I can't understand this simple thing at school. Welp time for the three categories

  • @syneetrawilliams3165
    @syneetrawilliams3165 4 года назад +2

    I enjoy working on Venn diagrams. I am now teaching my student to use them for information. Thank you for your deminstration.

  • @livingmybetsylife
    @livingmybetsylife 4 года назад +196

    4:22
    "You've got 42 friends."
    Something I don't have :(

  • @davidcummings5984
    @davidcummings5984 Год назад +1

    Its not just the logical application . Its the way the Tutor explains the process , clear precise & student friendly . As a writer i was unaware when devising metophors i was sometimes doing the venn method . I found it doesn't necessarily make verse more vivvid . But if using as an extended conciet you can create profound exemplary literary pieces .😮

  • @Ebaum5
    @Ebaum5 4 года назад +5

    Thank you I have had such a hard time figuring this out with the way I was shown. it makes perfect sense now!

  • @bubbub-p3p
    @bubbub-p3p Год назад +1

    Thanks! Your example made the problem look simple. You slowed down and explained your steps clearly.

  • @KnightSaber88
    @KnightSaber88 5 лет назад +20

    After hours of studying amd trying to figure this out, you simplified my life and stopped me pulling my hair out im a 9:57 video. I absolutely love you!!!

    • @igobrr1392
      @igobrr1392 3 года назад

      Simp (SORRY)

    • @KnightSaber88
      @KnightSaber88 3 года назад +1

      @@igobrr1392 You obviously have a really sad life.

    • @igobrr1392
      @igobrr1392 3 года назад

      @@KnightSaber88 HUUH YEAH

    • @caxctus9487
      @caxctus9487 3 года назад +1

      @@KnightSaber88 I can second that, this person is immature too.

    • @KnightSaber88
      @KnightSaber88 3 года назад

      @@caxctus9487 To go out of their way to insult me about something I posted 2 YEARS is extremely immature and sad.

  • @marrissaj4749
    @marrissaj4749 8 лет назад +19

    Love your own to earth style. This was easy to follow. thanks

  • @aidanlearmonth4816
    @aidanlearmonth4816 3 года назад +4

    I have a maths test in an hour, this video saved me thank you

  • @iqbalnasron
    @iqbalnasron 2 года назад +2

    I have heard of Venn diagram. All these nothing new to me. But this is the first time I know the application of Venn diagram. No one could explain to me better.

  • @ArleneDayot
    @ArleneDayot Год назад +1

    Thank you i had a test tommorow and i forgot how to do a Venn Diagram i din't understand the presentation so I searched up and you helped so much thank you!!

  • @AP-se2zs
    @AP-se2zs 5 лет назад +490

    You’re the Tom Cruise of Math.

  • @bryce6985
    @bryce6985 8 лет назад +30

    This helped to clarify things a lot. Cheers!

  • @nicodas
    @nicodas 7 лет назад +8

    Excellent modelling. You think out loud what learners are likely to think.

  • @tiamiyutitilayo7238
    @tiamiyutitilayo7238 Год назад +3

    This video is very explanatory, I found it hard to understand it for years but watching this video made it easy for me. Thanks a lot👍💯

  • @hana.co35
    @hana.co35 2 года назад +3

    OMG.I had such a hard time understanding this but you made this seem so easy

  • @andrewgarvey6717
    @andrewgarvey6717 5 лет назад +2

    Really Really nice. I came here looking for a better understanding of Venn Diagrams and I come away as a Mac Daddy . . . .. Awesome Video. Elegant Delivery.

  • @Vekash-awp
    @Vekash-awp Год назад +2

    Got a test tmr, bro jus protected a life

  • @GauravSingh-zl7iq
    @GauravSingh-zl7iq 7 лет назад +6

    Your art of problem solving is amazing..

  • @lovesterayuda1201
    @lovesterayuda1201 2 года назад +50

    Math is easy when you listen carefully

    • @BlessingHk-xq9gg
      @BlessingHk-xq9gg 4 месяца назад

      Can you help me out

    • @IHATEZHENYA123
      @IHATEZHENYA123 2 месяца назад

      I think im smart but i dont take math or school seriously thats why im failing thats why i want to change..

  • @bisharasheikh7574
    @bisharasheikh7574 4 года назад +1

    nice to see you again sheldon cooper!

  • @faraadharry7756
    @faraadharry7756 4 года назад +1

    Without this video i couldn't work my worksheet

  • @robertapayne8663
    @robertapayne8663 5 лет назад +6

    Your second example helped me understand how to do my homework. Thanks so much!

  • @tikijason
    @tikijason 6 лет назад +21

    This was incredibly helpful to me, thank you so much for taking the time to share your passion and make this great video!

  • @milinjoseblaze3884
    @milinjoseblaze3884 4 года назад +59

    john: imma end this mans whole career

    • @user-zf8gy1yw1p
      @user-zf8gy1yw1p 4 года назад +3

      4 minutes later...
      John: mission failed

  • @Fatimahkhan-j5j
    @Fatimahkhan-j5j Год назад +1

    Thank you so much this helped me a lot because tomorrow I have a test and I was bad at Venn diagram but now l understand it thank to you

  • @Seth-ki9pb
    @Seth-ki9pb 3 года назад +2

    thanks to you i understand how to do Venn diagrams and dont need to struggle anymore

  • @NarutoUzumaki-ho5gn
    @NarutoUzumaki-ho5gn 3 года назад +1

    John you're helping me solve Venn diagrams faster so thank you

  • @Victor001.0
    @Victor001.0 2 года назад +1

    You undid the confusion my math lecturer SET inside of me 😂😂(lol pun)... Thanks man...

  • @Abigorangepumpkin
    @Abigorangepumpkin 8 месяцев назад +3

    5:20
    so true. I love putting friends in a box

  • @fatimaiskandarli1197
    @fatimaiskandarli1197 6 лет назад +28

    The board is brighter than my future. Good video though!

  • @tareqsaleh187
    @tareqsaleh187 7 лет назад +3

    u r the best so far who explained it in the right way( thank you so much thats really helpful )

  • @UpRiseRecordzz
    @UpRiseRecordzz 5 лет назад +4

    Two minutes into the video I learnt something new

  • @jamangelo7637
    @jamangelo7637 5 лет назад +1

    That blows my fucking mind! He's teaching is better than our lullaby teacher

  • @uniquecreations1577
    @uniquecreations1577 Год назад +1

    5:21 "Who doesn't like putting they're friends in a box?😂 that really got me

  • @nuaveb
    @nuaveb 4 года назад +2

    Thanks for this video its amazing and it helped my daughter to under stand Venn diagrams better

  • @glue2308
    @glue2308 3 года назад +2

    i like these more than online classes since online classes you have to focus so you dont move a lot which makes you irritate but these you can just watch it however you like

  • @arianakurian7751
    @arianakurian7751 3 года назад +1

    not me looking at the friends and singing ill be there for u in my head😭

  • @Adam-tc5ck
    @Adam-tc5ck 6 лет назад +46

    Absolute life-saver man, appreciate it!

  • @byefelicia3557
    @byefelicia3557 6 лет назад +5

    thanks man! I know this is a super old video and all, but it’s very helpful. Hope you’re doing well:)

  • @茶叶猫
    @茶叶猫 3 года назад +2

    so helpful! I just see all advertisement to express my thanks~

  • @KanthiWijerathne-wd4uf
    @KanthiWijerathne-wd4uf 9 месяцев назад +1

    You simply SAVED ME🙏

  • @kennethcordero9455
    @kennethcordero9455 3 года назад +5

    You're totally life saver. Thanks sir

  • @thenightwolf5569
    @thenightwolf5569 9 месяцев назад +1

    Love the way he explained

  • @Underhoody
    @Underhoody 3 года назад +7

    "Well, you're the math guy, you'll figure it out." This made me laugh lol
    Thanks for your brief explanation about the Venn diagram. Your vid sure did help me a lot!

  • @vijayagurudas7374
    @vijayagurudas7374 3 года назад +4

    Awesome explanation Sir. Thank you

  • @nylabadoobee3002
    @nylabadoobee3002 8 лет назад +3

    OMG! Thank you! Now I can take my Math Test tomorrow!

  • @SamataSeidu-p1u
    @SamataSeidu-p1u 7 месяцев назад +3

    Please can you make it to the primary level of the Cambridge mathematics books for basic 6 🙏🙏🙏

  • @haohuiwu482
    @haohuiwu482 4 года назад +5

    Really useful, thanks for your contribution !!!

  • @Kamaramohammed123
    @Kamaramohammed123 Год назад +4

    If all Maths could be explained briefly with details like this one, many will develop interest in the subject.
    thank you very much Sir.

  • @swift-za8390
    @swift-za8390 3 года назад +2

    5:23 “Cuz who doesn’t like putting their friends in a box”

  • @warpedislandsgaming2667
    @warpedislandsgaming2667 2 года назад +1

    Thank you so much bro you helped me so much its clear now.

  • @maxmustermann6726
    @maxmustermann6726 4 года назад +4

    Math King! Thanks a lot mate, such a great explanation video! :)

  • @Hugh-Jass7261
    @Hugh-Jass7261 2 месяца назад

    I’ll be honest here,You’ve thought me more then my actual teacher sir.If you find this then know that your amazing for doing this job,And that I’d wish you thought me instead of my own teacher

  • @platypusprogamer
    @platypusprogamer Год назад +1

    Thanks i am learning thus and it’s really helpful

  • @frankyvf
    @frankyvf 6 лет назад +9

    Thanks you,you helped me do my homework

  • @keddiet8043
    @keddiet8043 2 года назад +3

    I love the while scenario and method of explaining. Practical and easy to understand

  • @adnanali-wp6ji
    @adnanali-wp6ji 5 лет назад +87

    yo who has tests or HAD tests

  • @enissantana6264
    @enissantana6264 4 года назад +3

    This video was very helpful. Thank you :)

  • @adwoawhite9671
    @adwoawhite9671 3 года назад

    Thanks for this method, now I clearly understand Venn diagram.

  • @iamnotlendbg2654
    @iamnotlendbg2654 3 года назад +1

    bro you saved me from an F in math thank you!

  • @afnanm9564
    @afnanm9564 3 года назад

    This is the best story ever

  • @eggy6274
    @eggy6274 4 года назад +1

    I love your humor

  • @threadpuff
    @threadpuff 3 года назад +1

    the last example was very helpful for me, Thank you very much!

  • @athlina6954
    @athlina6954 5 лет назад +2

    Thank you for your teaching!

  • @gailmarchan9570
    @gailmarchan9570 3 года назад +1

    Thank you.this really helps.

  • @scaraaintnoredflag7665
    @scaraaintnoredflag7665 3 года назад +1

    omfg this is so helpful u got my sub

  • @farheenyousuf6199
    @farheenyousuf6199 4 года назад +2

    Thanks for the wonderful explanation!👏👏👏👏👏

  • @anamacias4497
    @anamacias4497 2 года назад +2

    Thank you so much, this is very helpful 🙏

  • @ichmood12
    @ichmood12 3 года назад +1

    thank you my teacher didnt even bother to explain it

  • @antoinettebrown3792
    @antoinettebrown3792 5 лет назад +2

    loving your charisma salute x.

  • @momoraps8469
    @momoraps8469 4 года назад +1

    Amazing video and way of teaching

  • @suyashbarthwal1644
    @suyashbarthwal1644 2 года назад

    dude thanks i was stuck on this venn diagram

  • @tototarrcie3302
    @tototarrcie3302 4 года назад +21

    "how good lookin can you be if you don't know math?"

  • @_nah_id_vin_
    @_nah_id_vin_ 5 лет назад +9

    Sir i want you to be my maths teacher🤗🤗. Our teacher was giving us some lengthy formulas with some union and intersection stuff and I was so damn confused🤧🤕🤒😷 but you became my saviour. 😀😀You are just like a math angel descended from heaven.😇😇

    • @dogiebadger6229
      @dogiebadger6229 5 лет назад +1

      Yup. We had Union and intersection too. It was so damn hard

    • @jennipherluwita5998
      @jennipherluwita5998 5 лет назад

      True my teacher is no match for u

    • @ommyp
      @ommyp 4 года назад

      @@dogiebadger6229 TF that sounds weird asf

    • @kristofinashipanga
      @kristofinashipanga Год назад

      Thanks so much your video helped me sir 🤗🙏

  • @makahlaabraham508
    @makahlaabraham508 7 лет назад +8

    this helped me with a question i'm doing it said, 50 ppl in a store, 18 are buying nike, 15 are buying reebok and 3 are buying both. how many are buying nothing ? i did 18+15-3 = 30, i don't know if that was the right thing too do but i'll see when i get my results next week!

  • @shavin5568
    @shavin5568 4 года назад +1

    This helped so much thankssss

  • @joeyvico
    @joeyvico 4 года назад +1

    Brilliant explanation!

  • @renardothorne7315
    @renardothorne7315 7 лет назад +4

    this has helped me .... thanks bro

  • @cutetorcher7608
    @cutetorcher7608 4 года назад +2

    This is the best teacher ever Teaching clearly And i can get the answers right in my Math :D

  • @ronaldlomoljo6136
    @ronaldlomoljo6136 5 лет назад +2

    thx you will make my test 100%

  • @filsan1860
    @filsan1860 6 лет назад +3

    Amazing vid.. thank you very much for your help. Really appreciate it.

  • @SasukeUchiha-ps4yn
    @SasukeUchiha-ps4yn 3 года назад

    This video was awesome.

  • @ashleyjaydurwin6154
    @ashleyjaydurwin6154 3 года назад

    Thank you Very much It really help me much ♥️😭

  • @ethanadinoto6255
    @ethanadinoto6255 4 года назад +1

    Thank you very much I didn't thought of this simple equation

  • @johnhoe3300
    @johnhoe3300 6 лет назад +6

    Nice and simple easy to understand thank you, i was silly enough to start a chemistry bsc with out practicing math before starting uni was a bad mistake i had a test day one and only managed to pass because we had so much spare time i eventually figured out how to do it ( i had been sick for 5 years prior to starting uni and had not studied in this time) freaked me out a lot trying to do some thing so easy sadly i thought i had a couple weeks of study before tests lol..

  • @Attiver
    @Attiver 2 года назад

    your an excellent teacher explained wonderfully but I still don't know how to find 2x and x when all the give is the amount who got both and the amount that got either

  • @naaborley6211
    @naaborley6211 6 лет назад

    He is a good teacher

  • @crememusiqa
    @crememusiqa 4 года назад +1

    Thank you so much!Great video!!!