Crash Course in Combinatorics | DDC #1

Combinatorics is often a poorly taught topic, because there are a lot of different types of problems. It looks like it is difficult to pin down whether addition or multiplication principle should be used, or whether the inclusion-exclusion principle should be used. This video hopes to be very clear about the fundamental nature of these principles and help you clear up some concepts.
Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels:
forms.gle/QJ29...
If you want to know more interesting Mathematics, stay tuned for the next video!
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#mathemaniac #math #combinatorics #crashcourse #inclusionexclusion #permutation #combination

[@mathemaniac]

This video is uploaded because less than half of the viewers who responded to the Google form forms.gle/QJ29hocF9uQAyZyH6 says that they know some basics of combinatorics. So in order to make sure we are on the same page, I need to make this video. Even if you know these concepts, it is still worth going over to clear some concepts up. That said, I need a larger sample size to determine the overall math level of my audience, so please fill in that form if you haven't already.

[@trotamix8365]

This video is probably the best overview I've seen of Combinatorics.

[@mathemaniac]

Thanks!

[@charlievane]

Thanks

[@luissantiago4768]

Really nice video. I've never seen the Inclusion-Exclusion principle being taught that way.

[@ramakrishnasen4386]

Why do I not get good youtube recommendations like these!

[@vaishnavchandra5220]

😊3b1b vibe.... So calming.

[@koktszfung]

I immediately understand the inclusion exclusion principle using the venn diagram so I think it very much aided my understanding

[@koktszfung]

The idea of overshooting when taking away the overlapping region is very easy to understand

[@ramakrishnasen4386]

Keep up the good work buddy! Itwould be nice if you could make a plalisy on olympiad mathematics ( just problem solving and possible applicatins of ideas in math)

[@mathemaniac]

What do you mean by "possible applications of ideas in math"?

[@ramakrishnasen4386]

@@mathemaniac Well simply put I meant some real good things to try while solving olympiad problems

[@kumark25170]

Excellent

[@hembhagat742]

The explanation is very good.

[@mathemaniac]

Thanks!

[@SphereofTime]

0:06

[@wwmheat]

Fantastic explanation! Thank you!

[@gym5959]

What resources are you referring to in order to make these videos ?

[@luyombojonathan7715]

Thanks alot !!! Cheers

[@thelevhart7980]

Is it just me or does Mathemaniac sound like Lord Frieza?
Definitely got that elegant accent and tone

[@albertyeung5787]

very clear explanation

[@mathemaniac]

Glad you think so!

[@LK-sk9wl]

Why did you add 5 at 6:07

[@elicrotsn5085]

Because those 5 shared destinations between the three airlines were also 5 subtracted destinations shared between the blocks of two airlines. If all airlines share 5 common destinations it means consequently that the groups of two airlines also share each of those 5. The process of subtraction of the shared destinations in groups of two airlines has the objective of not overcounting how many available destinations you can fly to, but it has the flaw that if the places are shared by the three airlines, those destinations just dissapear by the subtraction. So you also check when the destinations are shared by the three airlines to add them back in.
I hope it's understandable and still useful after six months lol

[@weamibrahim2146]

​@@elicrotsn5085I had the same question and I finally understand. Thanks!

[@oyetundebello1436]

Why did you add the 5 destinations all flights back the equation

[@pascale3847]

I think because they were subtracted one too many times in the previous steps and so need to be added back in

[@sohelhossain9176]

👍👍👍