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For those who can't do the question here is what i did (may be wrong) : a) First we choose k numbers out of the n and the out of the remaining n - k numbers we chose m - k of them since total selected is m. \therefore \binom{n}{k} \binom{n-k}{m-k} b) Consider all possible combinations...

soz had to post this.

My BOS TRIAL MARKS: Extension 1: ~40% Extension 2: 34% my HSC MARKS: Extension 1: 99% Extension 2: 96%

l = Mrs Smith is lying e = Moriarty has escaped d = Dead j = He is Jones ---------------------------------------- l -> ~e (1) d V j (2) j -> e (3) l (4) --------------------------- l (4) ~e (1) ~j (3) d (4) (Since not j) [] EDIT: nvm you got it.

Prove Fermat's last theorem

Mystery mark

Re: Discrete Maths Sem 2 2016 Would the second statement be: l -> (b V s) ?

Re: Discrete Maths Sem 2 2016 Do cases and with the odd part do another induction to prove it. Edit: That is write the statement first assuming k is even and solve, and then another case where k is odd and solve.

Re: Discrete Maths Sem 2 2016 $ The original question was $ x, y \in \mathbb{Z}. x^2 + y^2 = 7m $ for some $ m \in \mathbb{R}. x^2 + y^2 \neq 7, \ \forall \mathbb{Z} \ : \ x, y. x^2 + y^2 = 49G, $ for some $ G \in \mathbb{Z}. $ (Prove this and the above line is true using mod 4...

Re: First Year Uni Calculus Marathon induction how ? Where do you put which brackets originally?

Re: First Year Uni Calculus Marathon $ Use the vector space axioms to prove that we do not need to use brackets when writing down the linear combination : $ \\ \sum_{k = 1}^n{\lambda_kv_k} = \lambda_1v_1 +... + \lambda_nv_n

Re: Discrete Maths Sem 2 2016 d = k*a d = l*b 1 = k*a/d 1 = l*b/d thus gcd = 1 (not sure if actual proof lel)

Re: Discrete Maths Sem 2 2016 I don't quite understand what happened so I want to see how integrand would solve it :P

Re: Discrete Maths Sem 2 2016 $ Prove that a function has an inverse iff it is is bijective $

Re: Discrete Maths Sem 2 2016 Can you explain this part please? Not too sure what you mean. How does that mean x isn't in A ?

Is there any co-op for maths/engineering for 2nd years ? I missed out on writing the one last sem,

Try 'tying' the 3 people together noticing that only the two can be arranged among the 3. The rest is simple.

Re: HSC 2016 MX2 Combinatorics Marathon Ftfy.

North Korea : Declares war America : *Makes memes*

This offends me as a vegan transgender atheist who vapes and crossfits 4 times a week and im also a male feminist as I identify myself as a pastafarian, apache, helicopter dog, mega multi combo god of hyper death and if you dont agree with me You're an ignorant arrogant globaphobic sexist lesbian.