Art of Problem Solving: Venn Diagrams with Three Categories

Art of Problem Solving's Richard Rusczyk introduces 3-circle Venn diagrams as a counting technique.
Learn more about problem solving here: bit.ly/ArtofProblemSolving

Пікірлер: 219

  • @carmelitaduncan716
    @carmelitaduncan7168 жыл бұрын

    Doing my homework right now and had no understanding of this until I watched your video. You explain it so well! Thanks you! (:

  • @ellacinders_
    @ellacinders_7 жыл бұрын

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

  • @akmal-o-4720
    @akmal-o-47202 жыл бұрын

    I cant believe this video was uploaded 9 years ago , this one really helps me . You explained it well sir . Everything looks easier than it seems to be.

  • @alexrobinson9442

    @alexrobinson9442

    7 ай бұрын

    bro it has just helped me for tmr it's 5am in the morning rn i have a test about this

  • @chantelraigosa8949
    @chantelraigosa89497 жыл бұрын

    Thank you so much! You really helped me figure out a problem I have been struggling to solve for a few days.

  • @shannoncahill3752
    @shannoncahill37528 жыл бұрын

    I was absent the day we learned this and was so confused but now I understand. Thank you so much!

  • @shairenemariepadolina5897
    @shairenemariepadolina58975 жыл бұрын

    Thank you, you just saved me for my math test tommorow😔😊

  • @VoidXD
    @VoidXD3 жыл бұрын

    I hope he still alive Edit: because he help me on math he gave me a technique to make it easier to solve!

  • @thatoneguyinthecorneroverthere

    @thatoneguyinthecorneroverthere

    2 жыл бұрын

    he is, hes 49

  • @EvandroNP
    @EvandroNP7 жыл бұрын

    Loved your video, you made it seem so much easier than the book. Thank you so much

  • @louellafrancesorlina5796
    @louellafrancesorlina57963 жыл бұрын

    Thanks bro you saved me from my periodical test problem solving. respect this man

  • @brinnesryn
    @brinnesryn Жыл бұрын

    Thank you!! I'm back in college after not touching math for eight years and your diagram helped me better understand my Set Theory chapter! Appreciate it.

  • @Lightningboltzzz
    @Lightningboltzzz11 жыл бұрын

    That is brilliant, (especially John's method). Keep it up and cheers!

  • @ambellinaamory7888
    @ambellinaamory78888 жыл бұрын

    My prof sent me here this guy is like Steve from blue's clues

  • @yurik3644

    @yurik3644

    4 жыл бұрын

    i was literally just thinking that

  • @vieradz2726
    @vieradz27263 жыл бұрын

    Online school brought me here today.. Who else??

  • @nishamanoj6016
    @nishamanoj60164 жыл бұрын

    Sir hats off to you. I was able to understand it easily.

  • @vitesse15
    @vitesse153 жыл бұрын

    This was so helpful!!! tysm!!! i was struggling on this problem for 2 days but i understood the problem after watching just 8 minutes of this video!

  • @lovelyprincesssarah
    @lovelyprincesssarah5 жыл бұрын

    THANK YOU! I am really struggling in geometry, especially in the lesson I am learning and you just blew all the fog in my mind to discover how to do it!

  • @BlessedBediako

    @BlessedBediako

    Жыл бұрын

    thanks

  • @BlessedBediako

    @BlessedBediako

    Жыл бұрын

    thanks😂😂🤣😅

  • @alyonaryabovalova7354
    @alyonaryabovalova73544 жыл бұрын

    Thanks a lot!!! I spend so much time drawing this diagram and then figuring out the numbers etc. This PIE helps a lot :)

  • @user-qs7dp6yb2x
    @user-qs7dp6yb2x9 жыл бұрын

    OH MY GOD! you are so awesome. this topic isn't difficult but you made eveeeeen simpler. such a nice way of teaching. Sir you are a real Teacher with a big T! Thank you very much

  • @rishantdutt1946
    @rishantdutt194611 жыл бұрын

    Man!! you just acheived a something that my school teacher us trying for months now you really could make me understand this .Thanxxxx.A SUPER LIKE for me

  • @sophie44456
    @sophie444566 жыл бұрын

    This is fantastic! He does sound just like Steve form blues Clue's, and I understand it now!!!

  • @wyndellalmazan9535
    @wyndellalmazan95357 жыл бұрын

    Thank you for sharing this helpful video. You helped us to understand our lesson clearly.

  • @thedreamers2863
    @thedreamers28633 жыл бұрын

    Ok i have seen many but u are one in a million, i love your solvings keep it up

  • @kellenchang473
    @kellenchang4735 жыл бұрын

    we are doing the triple venn-diagram at school and yesterday i tried the method PIE and it worked ! Thanks

  • @Thinobard
    @Thinobard11 жыл бұрын

    good instructional video. you spoke very clearly and didnt mess up in the 5 minutes i watched. good job

  • @yasmeenahmed7989
    @yasmeenahmed798910 жыл бұрын

    I have an easy formula to solve this pie method. *"and" means -> intersect. It's symbol is U but it is upside down. It refers to (common elements between A and B) *"or" means -> union. It's symbol is U. It refers to (all common elements in the sets) So here is the formula: *for two sets: n(A "and" B) = n(A) +n(B) - n(A U B) example is the video the no. of green colors and red together (common) = 31+37-4= 60 Dogs ( And you check by Venn Diagram) *another one for three sets or circles: n(A U B U C)= n(A) + n(B) +n(C) + n(A "and" B "and" C) - n( A "and" B) - n(A "and" C) -n( B "and" C) = 31 +37 + 42 + 4 -13 - 9 -12= 80 Dogs (which is the total) (A "and" B "and" C)->4 which is the three dogs. n(A "and" B)-> it could 13. (according to the what A refers to and B refers to) Also an easy way to remember this formula is: *if it is union in the subject, it changes to intersect after the equal side and vice verse. *Add each kind plus their intersection or common and subtract each two kinds together. Hope it helps and hope you understand what I meant to say.

  • @user-se4bf1co7y

    @user-se4bf1co7y

    3 жыл бұрын

    @@leiyisun4514 wtf you should be happy someones got the time to write that

  • @arpita8285
    @arpita82855 жыл бұрын

    I LITERALLY HAVE A QUIZ TMRROW THANK YOUUU YOU KIND SIR

  • @Douglas..1
    @Douglas..13 жыл бұрын

    Thank you so much Have my paper 1 non-calc moc on tuesday and this helped me so much to understand the venn diagrams with three categories Hope I do well and thanks for the help.

  • @rasydan
    @rasydan11 ай бұрын

    THANK YOU SO MUCH:) i was really struggling and this explanation makes absolute sense

  • @muse3324
    @muse33249 жыл бұрын

    Thanks Richard! this video has helped me simplify my approach to deal with questions with 3 sets :)

  • @inahverzosa7529
    @inahverzosa75298 жыл бұрын

    thank you this is a really big help

  • @evehellod9776

    @evehellod9776

    3 жыл бұрын

    @@leiyisun4514 How does that make them a nerd

  • @terencebaldivia2284
    @terencebaldivia22849 жыл бұрын

    Thank you! This helped me a lot with my homework! 😄 📝 📕

  • @alexselee519
    @alexselee5199 жыл бұрын

    Helped me out a lot! Thanks!!

  • @reiyuu3624
    @reiyuu36245 жыл бұрын

    The ending is evil. Thank you.

  • @ManojVerma-df1px
    @ManojVerma-df1px6 жыл бұрын

    I really enjoyed your lecture and you teach easier which we can be understand

  • @fiaherradura3779
    @fiaherradura37797 жыл бұрын

    this was rlly helpful, thanks!

  • @loonazone8177
    @loonazone81774 жыл бұрын

    This was so helpful!!👏🏽👏🏽

  • @tyreseemerhu8013
    @tyreseemerhu80136 жыл бұрын

    this helped me so much keep doing more videos like this thanks a lot.......

  • @rineywastaken5164
    @rineywastaken51649 ай бұрын

    This guy is the reason why i'm a top student and best in math, THANK YOU SO MUCH

  • @damnnewports
    @damnnewports11 жыл бұрын

    he reminds me of Steve from blues clues

  • @UBFR

    @UBFR

    4 жыл бұрын

    loool yes

  • @killemall121
    @killemall1215 жыл бұрын

    I love it when he says "hey"

  • @ankulsinghrajput8452
    @ankulsinghrajput84528 жыл бұрын

    nice explanation it helped alot

  • @adrielaustria9798
    @adrielaustria97989 жыл бұрын

    Thanks you really helped a lot 😊

  • @karanlokare6162
    @karanlokare61624 жыл бұрын

    Craziness i was trying to find the variable common in all three and here I go inclusion - exclusion. Thank you sir🤘

  • @sidesytjourney594
    @sidesytjourney5943 жыл бұрын

    Thank i finally understand the three circle diagram!!

  • @EastSierra117
    @EastSierra11710 жыл бұрын

    Excellent video,was great!

  • @MegaRafael3333
    @MegaRafael333312 жыл бұрын

    thank you man helped me on my assignment

  • @oscarwang6445
    @oscarwang644512 жыл бұрын

    awesome work man

  • @Crisyhan
    @Crisyhan3 жыл бұрын

    Thznk you for teaching me about venn diagrams

  • @sharisesmall7855
    @sharisesmall78557 жыл бұрын

    thank you very much this video made me understand disjoint sets I got them correct in my test

  • @BenieMansuetoVison
    @BenieMansuetoVison11 жыл бұрын

    A conference of 213 people answered a survey about the most popular school in the philippines (UP, FEU, Ateneo).The result are as follows: 62 people choses UP only 18 people choose UP and FEU(4 of which choose Ateneo) 2 people didnt choose any of the 3 51 people choose Ateneo 21 people choose FEU and Ateneo 77 people choose FEU 169 choose UP and Ateneo a. Draw a venn diagram b. How many people choose for UP? c. How many people choose more than 1 school? d.How many people choose FEU and Ateneo?

  • @MD4952
    @MD49522 жыл бұрын

    Helped before exam,subscribed

  • @yedreabat814
    @yedreabat8143 жыл бұрын

    this helped me a lot thanks!!!

  • @thanasissk.2641
    @thanasissk.2641 Жыл бұрын

    thanks bro ! am ready for the test in uni now

  • @brandoncardenas2513
    @brandoncardenas25139 жыл бұрын

    I love this guy.

  • @hayaali9645
    @hayaali96453 жыл бұрын

    you just saved my life, thank you

  • @decepticon9072
    @decepticon9072 Жыл бұрын

    Thank you bro your the goat love your channel

  • @skyybanni6667
    @skyybanni66672 жыл бұрын

    this was really helpful thanks 😊

  • @eleanorstell1173
    @eleanorstell11733 жыл бұрын

    You are amazing thank you so much for helping me

  • @mxnkirxt
    @mxnkirxt9 жыл бұрын

    Very Helpful .. Made my life easier haha .. thanks (y) :)

  • @alyssacanete2654
    @alyssacanete265410 жыл бұрын

    Thank you! You helped my homework! =)

  • @predestinedtoshine2202
    @predestinedtoshine22029 жыл бұрын

    Thank you!

  • @YesYes-fe7zk
    @YesYes-fe7zk3 жыл бұрын

    Thank you very much.

  • @jaileneminion
    @jaileneminion10 жыл бұрын

    Thanks so much!

  • @lloydandrecuevas4068
    @lloydandrecuevas40687 жыл бұрын

    Thanks you really helped a lot

  • @michaelrobinson9933

    @michaelrobinson9933

    5 жыл бұрын

    hi josh

  • @TheArtistGirl150
    @TheArtistGirl15010 жыл бұрын

    Thank you, you helped me :)

  • @jacquelineaffumwaa9675
    @jacquelineaffumwaa96753 жыл бұрын

    Thanks you so much ,you've just saved me

  • @xxlachey
    @xxlachey11 жыл бұрын

    thank you so much!

  • @vincentbond9978
    @vincentbond9978 Жыл бұрын

    better than my class teacher explanation is too fas thank you art of problem solving

  • @joeshepherd5697
    @joeshepherd569710 жыл бұрын

    Awesome! Very clear explanation. :-)

  • @justsothaticanwatch
    @justsothaticanwatch11 жыл бұрын

    Dude, I love your marker

  • @user-bw4sn3yw3z
    @user-bw4sn3yw3z4 ай бұрын

    You are on fire and hats off to you

  • @ariesadrianbuena5311
    @ariesadrianbuena53118 жыл бұрын

    Thanks! Our periodical test is next week and I am really reviewing hard but i cant solve this

  • @KP-hw5og
    @KP-hw5og4 жыл бұрын

    Great explanation

  • @equongjones1117
    @equongjones11174 жыл бұрын

    This was very helpful for thank you

  • @marjorieewusi-yamoah3404
    @marjorieewusi-yamoah34043 жыл бұрын

    Thanks a lot 😁 really helped

  • @dh4495
    @dh44956 жыл бұрын

    Good looking out, saved me in thia unit!

  • @king_biriyani2111
    @king_biriyani211113 күн бұрын

    Great job ❤

  • @dweyndeloso273
    @dweyndeloso2736 жыл бұрын

    you just made me love math

  • @khloesoriano9120
    @khloesoriano91204 жыл бұрын

    I'm going to be grade 7 dis school year (2020-2021) I was puzzled when I read the book of my brother. *I was studying for da next school year ofc so I won't get confused I can't understand a thing,so I did some researching in the internet (ofc) At first,I can't find an EASIER way,until I clicked this vid. I was taken aback because he taught (me) us an easier way and this video is made when I was just 3 years old! ANYWAYS TYSM

  • @stupidgranny997
    @stupidgranny9972 жыл бұрын

    'At least the poor little doggy owners' hilarious

  • @gavsackai4991
    @gavsackai49913 жыл бұрын

    thank you this helped alot

  • @gigachad9501
    @gigachad9501 Жыл бұрын

    This is very helpful

  • @threadpuff
    @threadpuff2 жыл бұрын

    John is a shortcut math wizard

  • @galaxywolfgirl6360

    @galaxywolfgirl6360

    Жыл бұрын

    Definitely! John does the subtracting method instead of the Venn Diagram method.

  • @barackyunus901
    @barackyunus9018 ай бұрын

    I think universities should be a place we go and do test only, because bro explained everything in a glimpse

  • @JAUNEtheLOCKE
    @JAUNEtheLOCKE2 жыл бұрын

    Thank you so much for these, number sets are confusing

  • @stefan124412
    @stefan1244129 жыл бұрын

    YOU ARE AWESOME!

  • @caitlinw03
    @caitlinw0310 жыл бұрын

    Cool , totally aced my homework

  • @Asura-Knight
    @Asura-Knight8 жыл бұрын

    Thank you so much

  • @jovieconsad5148
    @jovieconsad51483 жыл бұрын

    Thank you sir you help me understand

  • @robertethanbowman
    @robertethanbowman3 жыл бұрын

    The way this problem is stated is different from normal conversation. When you say there are 13 dogs that got a blue and red ribbon that normally means they did NOT also get a green ribbon. But how this should be stated is that there are 13 dogs with AT LEAST a blue and red ribbon. Maybe they also have a green ribbon or maybe not. This is a lawyer's dream.

  • @meowmerswem9517
    @meowmerswem95174 жыл бұрын

    11:14 a proof of why there is only 3 spacial dimensions

  • @saraemiley5924
    @saraemiley59246 жыл бұрын

    THANK YOU SO MUCH FOR THISS

  • @deepankardubeydubey2881
    @deepankardubeydubey28818 жыл бұрын

    thanks it's a great video

  • @hmp4884
    @hmp48843 жыл бұрын

    everybody say thank you john

  • @marquizabryleyalve8821
    @marquizabryleyalve88215 жыл бұрын

    Thank u u earned a subscriber 😍😀

  • @CheryllCase
    @CheryllCase11 жыл бұрын

    You are amazing.

  • @canken2
    @canken211 жыл бұрын

    black ribbon outside of the circles? independant of other colors, is that the right answer?

  • @soad2609
    @soad26094 жыл бұрын

    Thanksssssss a loooooot, you literally saved my ass.

  • @jennyisnotfunny
    @jennyisnotfunny2 жыл бұрын

    this man is great

  • @swannykiid
    @swannykiid6 жыл бұрын

    I have a test tomorrow in maths and whoa, you saved my sorry ass