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
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
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Doing my homework right now and had no understanding of this until I watched your video. You explain it so well! Thanks you! (:
bro you saved me from an F in math thank you!
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
7 ай бұрын
bro it has just helped me for tmr it's 5am in the morning rn i have a test about this
Thank you so much! You really helped me figure out a problem I have been struggling to solve for a few days.
I was absent the day we learned this and was so confused but now I understand. Thank you so much!
Thank you, you just saved me for my math test tommorow😔😊
I hope he still alive Edit: because he help me on math he gave me a technique to make it easier to solve!
@thatoneguyinthecorneroverthere
2 жыл бұрын
he is, hes 49
Loved your video, you made it seem so much easier than the book. Thank you so much
Thanks bro you saved me from my periodical test problem solving. respect this man
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.
That is brilliant, (especially John's method). Keep it up and cheers!
My prof sent me here this guy is like Steve from blue's clues
@yurik3644
4 жыл бұрын
i was literally just thinking that
Online school brought me here today.. Who else??
Sir hats off to you. I was able to understand it easily.
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!
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
Жыл бұрын
thanks
@BlessedBediako
Жыл бұрын
thanks😂😂🤣😅
Thanks a lot!!! I spend so much time drawing this diagram and then figuring out the numbers etc. This PIE helps a lot :)
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
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
This is fantastic! He does sound just like Steve form blues Clue's, and I understand it now!!!
Thank you for sharing this helpful video. You helped us to understand our lesson clearly.
Ok i have seen many but u are one in a million, i love your solvings keep it up
we are doing the triple venn-diagram at school and yesterday i tried the method PIE and it worked ! Thanks
good instructional video. you spoke very clearly and didnt mess up in the 5 minutes i watched. good job
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
3 жыл бұрын
@@leiyisun4514 wtf you should be happy someones got the time to write that
I LITERALLY HAVE A QUIZ TMRROW THANK YOUUU YOU KIND SIR
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.
THANK YOU SO MUCH:) i was really struggling and this explanation makes absolute sense
Thanks Richard! this video has helped me simplify my approach to deal with questions with 3 sets :)
thank you this is a really big help
@evehellod9776
3 жыл бұрын
@@leiyisun4514 How does that make them a nerd
Thank you! This helped me a lot with my homework! 😄 📝 📕
Helped me out a lot! Thanks!!
The ending is evil. Thank you.
I really enjoyed your lecture and you teach easier which we can be understand
this was rlly helpful, thanks!
This was so helpful!!👏🏽👏🏽
this helped me so much keep doing more videos like this thanks a lot.......
This guy is the reason why i'm a top student and best in math, THANK YOU SO MUCH
he reminds me of Steve from blues clues
@UBFR
4 жыл бұрын
loool yes
I love it when he says "hey"
nice explanation it helped alot
Thanks you really helped a lot 😊
Craziness i was trying to find the variable common in all three and here I go inclusion - exclusion. Thank you sir🤘
Thank i finally understand the three circle diagram!!
Excellent video,was great!
thank you man helped me on my assignment
awesome work man
Thznk you for teaching me about venn diagrams
thank you very much this video made me understand disjoint sets I got them correct in my test
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?
Helped before exam,subscribed
this helped me a lot thanks!!!
thanks bro ! am ready for the test in uni now
I love this guy.
you just saved my life, thank you
Thank you bro your the goat love your channel
this was really helpful thanks 😊
You are amazing thank you so much for helping me
Very Helpful .. Made my life easier haha .. thanks (y) :)
Thank you! You helped my homework! =)
Thank you!
Thank you very much.
Thanks so much!
Thanks you really helped a lot
@michaelrobinson9933
5 жыл бұрын
hi josh
Thank you, you helped me :)
Thanks you so much ,you've just saved me
thank you so much!
better than my class teacher explanation is too fas thank you art of problem solving
Awesome! Very clear explanation. :-)
Dude, I love your marker
You are on fire and hats off to you
Thanks! Our periodical test is next week and I am really reviewing hard but i cant solve this
Great explanation
This was very helpful for thank you
Thanks a lot 😁 really helped
Good looking out, saved me in thia unit!
Great job ❤
you just made me love math
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
'At least the poor little doggy owners' hilarious
thank you this helped alot
This is very helpful
John is a shortcut math wizard
@galaxywolfgirl6360
Жыл бұрын
Definitely! John does the subtracting method instead of the Venn Diagram method.
I think universities should be a place we go and do test only, because bro explained everything in a glimpse
Thank you so much for these, number sets are confusing
YOU ARE AWESOME!
Cool , totally aced my homework
Thank you so much
Thank you sir you help me understand
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.
11:14 a proof of why there is only 3 spacial dimensions
THANK YOU SO MUCH FOR THISS
thanks it's a great video
everybody say thank you john
Thank u u earned a subscriber 😍😀
You are amazing.
black ribbon outside of the circles? independant of other colors, is that the right answer?
Thanksssssss a loooooot, you literally saved my ass.
this man is great
I have a test tomorrow in maths and whoa, you saved my sorry ass