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I am learning C right now. higher level of languages on the way in the next sem.

I have got this question from IMO 2015 (yes, I searched for the questions and couldn't solve the first question that I found)

"determine all triplets (a,b,c) of positive integers each of the form ab-c, bc-a, ca-b is a power of 2"

I wish to solve more and more of such problems but I don't know where to start from as I think I should start with some basic level problems and move onto such harder ones.

@bobbym

**gourish**- Replies: 8

hi guys, i am passionate about math and solve math problems of a decent difficulty. i have seen that IMO has difficult problems. i wish to learn how to solve such difficult problems.

how should i prepare for IMO. what are the skills that i should have to solve IMO problems.

P.S. i know practice is the key, but i need to know what are tools i need to have before solving the problems.

**gourish**- Replies: 8

hello guys, i am new to coding and have joined a computer science course in an engineering college.i wish to learn coding and since i have no background in coding and am very passionate about it, i hope you guys can show me the right direction.

P.S. my professor is too hell bent on sticking to the syllabus and considers me as a dumb guy. so taking her help is out of the question.

still couldn't solve the problem... can you show me how to prove it?

**gourish**- Replies: 2

here is a question that i came across in a competition (math crusade 2014) which i couldn't answer

Q.) if the nth term of the Fibonacci sequence: 1,1,2,3,5,8,13..... is represented by Fn then for n greater then 4 and being a composite number

prove that Fn is a composite number

if you guys can show me the way i can walk the path.... like how should prove that a given number is composite when i cannot even have any idea of what it's factors may be...

thanks for sharing... i bet bobbym is a professor isn't he?

ok... well i read that it contains graph theory... why is that necessary for combinatorics?

so any suggestions for a good book that i can read for combinatorics... including such problems...

36... the answer...

i bet you didn't expand that term by hand....

okay so we now get to back the question that u originally asked me.... right... we now need to find the coefficient of x^10 in this expansion where the whole term is raised to 3....

now getting back to the multinomial theorem....(i have got a fair enough idea of binomial theorem and have read that multinomial theorem is general form of bi theo..)

okay.... go on... i have the polynomials representing the variables...