3.5.3 Inclusion-Exclusion Example: Video

[@JackX.C]

This is the best explanation of Inclusion-Exclusion I can find online!!! Thank you, sir!

[@trestenpool9045]

Well made video. Took me a while to truly grasp concept, this hammered in the concept. Thank you very much.

[@suleymanserbetci6161]

At 8:18 you said minus the intersection of all three intending to say that you add the intersection of P60 intersected with P04 intersected with P42.

[@MadComputerScientist1]

Thank you. I've now gone through three professors who have failed to explain this topic very well. I don't blame the professors too much. After all, at college and then master's level a lot of learning is on me. Great job with this video! I've started to understand this in a way I didn't before.

[@rceby2024]

7:35 is a very important remark, thank you!

[@loveislouderrrrr]

Thank you. You explained this concept so simply.

[@MrAous456911]

So treat 60 , 04 , 42 as their own numbers is the main trick, which makes figuring out what P60 , P04 and P42 is equal too, which is 9! . Nice straightforward explanation and derivation on A U B U C

[@z1lla4]

Discrete mathematics is the weirdest thing ever to me. I learned all this math leading into calculus. Tearing my hair off trying to understand all of these abstract concepts. After starting discrete math things are alot different. No more integrals, derivatives, etc.. Everything I am learning now is just a bizarre combination of verbal logic and math in order to reach some level of conclusion to problems such as "if a then b, and b is true. therefore a is true". Combinations, prediction, algorithms. I wonder why I even need calculus? I don't believe calculus prepared me well enough for this.

[@facecrafter1328]

Calculus and this are two different things. Just because calculus is not very relevant to the discrete maths you're learning, doesn't mean you don't need calculus.

[@gweneverecouspec2521]

Calculus is the BEST

[@aaronzewdu]

this is what I needed all quarter long!

[@МохамедРусланович]

in class have 14 student ...10 of them study English 8 of them study franch 5 of them study Spanish ..and 5 study English and franch 2 study English and spanish 4 study franch and Spanish... first question how many students study these three languages what formula should i use here ?

[@cosmickitty9533]

THIS! I need help with this shit too

[@Brisingr105]

AUBUC since the A = english B = frenchetc. and the overlapping between A and B is the students whom study english and french repeat for AC CB then add the middle you can calculate any group with that

[@Idan-tc5rt]

14 = (10 + 8 + 5) - (5 + 2 +4) + (?)

[@ziyang_music]

the same formula

[@parthasarathibiswas1616]

2

[@ruukas97]

Which method is he using to calculate the result at 12:16?

[@leonardobilic1079]

This is exactly the Inclusion-Exclusion formula applied to the example. The formula for n=3 different sets can be seen at around 6:56. The general formula really isn't in that video I think but you can find it everywhere on the internet if you just search for it.

[@hepan4705]

He changes all the terms to be multiples of 7! so they are easier to add together.

[@MrAous456911]

Rewrite 9! As 9*8 *7! And 8! As 8 * 7! And you can reduce and simplify if terms of 7!

[@anabenites7621]

when we are talking about "proof the inclusion/exclusion principle", what does it mean? thanks :)

[@archilzhvania6242]

It means that we need to mathematically show that the inclusion/exclusion principle produces the correct result in every case. Not sure if u care 4 years later, but still xD

[@aperkins07]

how the heck is he getting 193 from 3*9!-3*8!???

[@sneaksneak6522]

Did you ever figure this out ?

[@AmritSingh-it9qb]

He got it by separating like terms! 3*9! is the same as 3*9*8*7! 3*8! Is also 3*8*7! So we can say the equation, 3*9!-3*8!+7!, is also just 7!(3*9*8-3*8+1) by bringing outside a 7! Which is also simplified as 193*7!

[@sneaksneak6522]

@@AmritSingh-it9qb thank you 🙏🌟

[@dyaszil3698]

thank you so much for your explanation! You explained it clearly and this is easy to understand.

[@mahdinoroozi1614]

great explanation

[@ValueBluff19]

Thanks for the explanation.

[@amartyasau4175]

He sounds like he's got shot in the chest.

[@mariovrtaric3360]

He sounds like he's from Jersey

[@benzeltser9851]

You sound like you stupid

[@shreyassahu6930]

You are amazing mate.....

[@jungminkim2661]

Thank you so much

[@thatagirianilkumar2094]

Thanq

[@santionguyen2708]

Thank you!

[@amoslagat3090]

Thanks

[@anjaninator]

Very helpful

[@gintaharada123]

Love ur vid

[@astleachu6496]

Nice

[@alejandrocs-cv1kj]

I love you

[@peterpace3379]

Daddy?