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Just found the holy grail to study for my combinatorics exam

Quality explanation, thank you very much for these short and really well structured videos!

Thank you

you are such a blessing lady!

you made an interesting claim, ¨whenever the number 7 comes up when you are enumerating something you should maybe panic that there is not going to be a closed formula...¨

Thqqqqqqq

agreed, I ned to watch as much as I can.

Highest quality

I don't know how much difference this comment is gonna make, but after seeing some of your older videos, I have to say that you are a wonderful explainer and an amazing teacher. I am a huge fan of your teaching style, specifically how you have been teaching using markers on a white board. All in all, it has been amazing for me. Keep posting ma'am! Thank you.

Very good motivation and insightful remarks. Thank you!

The more informative, well-organized and accessible video so far on Ramsey numbers.

Where do I plug the number in tho, if it were a problem, how exactly would I work out the identical, identical, unrestricted. Are you able to give an example with actual nunbers?

Very clear thanks! Can I switch into your 432 section 😂

You just saved my life💓

This is sick! Thanks

super helpful, thanks

That is very clear, thanks. For the same problem, let us we want to find the probability of getting all the complete coupons? n = coupons and I have k>n boxes P(complete) = C(k, n).n!/(n^k) is the response correct?

Generating functions: "the important things ... are that they are not going to generate anything and we don´t want to think about them as functions" Now, that is a sense of humour! 🤣

Thank you very much! This really helped me!!!

I was struggling to understand the intuition and proof of this from past 3 hrs.......you just cleared it in 7 mins.........YOU ARE REALLY AWESOME!!!! Thanks 🙏🙏🙏

thanks i cant get it from book nor from chatgpt u came as a god

Thank you very much for all these clear explanations !!! Very grateful !!!

The only small thing that was slightly confusing is that Bona's book switches the role of n and k from these lectures. Awesome lectures!

That was an incredibly clear explanation. Love your videos!

Thank you very much for these amazing explanations! Great lecture!

Fantastic! Thanks for making this presentation public!

i love your viedos thank you!

Thank you professor

Super pedagogical! Thank you :)

Great lecture! I stumbled upon exponential generating functions because the EGF for a given sequence has that sequence as its Taylor series!

4:00 Hi prof, I think if I am not wrong, the expectation is not the 50 percent chance, but rather the median right?

she looks like kate winslet

Thanks a lot. I watched some of your lectures so far and I'm really hooked on and planning to take the whole course.

perfect explanation

Thank you so much, this video was so helpful!

I like your explanations.Thank you!

So well explained!!! Thank you so much!

Excellent explanation!

fail

Thats a really nice example, thank you for it

TH-cam is such a nice place for solidifying math~

Thank you so much. I learned this in my university. But actually I didn't understand. But now I understand. This video is so helpfull. Thanks a lot 💙

Thanks a lot!

amazing videos, thanks a lot!!

This explanation is great! Will there be the third video on Ramsey theory?

👀👀

Can you show how you solved S(n,n-2)?

Finally someone who explains this clearly and nicely! Thank you, keep up the good work!

It looks like partial fractions but i like think about it as geometric series and its derivatives

Great explanation