Re: HSC 2016 MX2 Combinatorics Marathon
Choose the k balls to be in their right position \binom{n}{k}=\binom{n}{n-k}.
Now the remaining n-k balls have to all be in the wrong position, which is just a derangement of n-k balls. Let's call this D(n-k).
So we would have:
\binom{n}{m}D(m) where...
Since the sum of the digits must be 6, we can write it as:
1_1_1_1_1_1_
Just use the stars and bars method, since we need to put in 3 bars to represent the digits. So we get \binom{8}{3}=56
i.e. 1_1 | 1_1 | 1 | 1 = 2211
Re: USYD Chatter Thread - Semester 1 2016
MATH2962 wasn't recorded last year was it?
I'm pretty sure none of the advanced second year maths subjects were recorded (maybe 2962 as you said but I don't recall it being recorded?)
Thanks Sean!
I had a look at them and I'm definitely getting the metric space ones, still undecided on which one for galois theory.
Btw do you have any tips/advice for third year maths? I've done the regular third year units (algebra/logic and geometry/topology), but the advanced units seem...
Hey I'm doing metric spaces/galois theory/biomaths this semester. Are there any really good textbooks you recommend for any of these?
I'm guessing I don't really need one for biomaths, but a good one for metric spaces or galois theory that also has stuff for honours next year is probably what I...
1) Top your uni with straight HD's and the university medal.
2) Work 100 hour weeks at a big investment bank for 5 years until you want to kill yourself.
3) Apply for hedge fund and beat all the other people who completed step 1 and 2.
4) Don't sell other people's notes in the company unless...
This is why I'm curious on Omni's opinion on prop shops. Because from what I've seen prop shops (talking about good ones) have much higher salaries than IB/consulting, and it's weird why everyone goes for IB over them etc. My guess is because prop shops are more selective/exclusive/harder to get...