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Re: 2015 permutation X2 marathon How many ways can the name 'CHRISTIAN LEE' (yay my name!!) be arranged so that no vowels are together?

Re: HSC 2015 4U Marathon - Advanced Level Are you from Ruse? Did u ever go to tutoring in your high school years?

Re: HSC 2015 4U Marathon - Advanced Level lol apparently that perms and combs q is an imo question according to integrand......doubt it was posted as a legit question. maybe glitter can do it though

Re: HSC 2015 4U Marathon - Advanced Level Has anyone solved this yet?

Re: HSC 2015 4U Marathon - Advanced Level I have compiled ball's relevant posts. No where has he included in his proof that "g(x)+g(x)=g(x) so g(x) = 0."

Re: HSC 2015 4U Marathon - Advanced Level Lol don't worry about Drsoccerball, he doesn't know what he's talking about/ can't admit that he couldn't solve the question. But your solution is excellent!

is the exam file still there?

Re: HSC 2015 4U Marathon - Advanced Level so ur saying, that if ur given x +x^2 plus some term =y +y^2 then the only integer solutions are when x=0? just making sure before I post a counterexample

Re: HSC 2015 4U Marathon - Advanced Level so ur argument is, for any diaphantine equation with an unequal number of terms, equality is achieved iff all the terms are zero? Or do u mean something else?

Re: HSC 2015 4U Marathon - Advanced Level so ur argument is, if g (x)=x (non zero factor) +h (y) =0, then these zeroes occur only when x=0 and h (y) =0? This is clearly not true, and both of yours + soccerball's solutions wouldn't get more than 1 mark in the actual exam!

Re: HSC 2015 4U Marathon - Advanced Level where in your working have you shown that those are the ONLY possible solutions?

Re: HSC 2015 4U Marathon - Advanced Level likewise, nowhere in your working have u explained why those combinations are the ONLY possible solutions.

Re: HSC 2015 4U Marathon - Advanced Level why does f (x, y) =0 imply that both factors much equal to zero? This is clearly not necessarily true

Re: HSC 2015 4U Marathon - Advanced Level even a year 10 student can merely state the answer without any kind of proof. So ill assume u couldnt solve this one!

Re: HSC 2015 4U Marathon - Advanced Level While you guys work on sim's problem, I'll post another one: Find all integer solutions to x+x^2 +x^3= y+y^2

Re: HSC 2015 4U Marathon - Advanced Level nope, I think you've taken a wrong approach

Re: HSC 2015 4U Marathon - Advanced Level a polynomial is called self centered if it has integer coefficients and p (100) = 100. if p (x) is a self centred polynomial, what is the maximum number of integer solutions to p (k) =k^3?

Re: HSC 2015 4U Marathon - Advanced Level suppose that a polynomial with integer coefficients satisfies P(100)=100. Find the maximum of integer solutions to P(k)=k^3 such a polynomial can have.

Re: HSC 2015 4U Marathon - Advanced Level wait, now youre saying that m is an integer?

Re: HSC 2015 4U Marathon - Advanced Level does that mean that m must be an integer?