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# How to find the coefficient

What will be the coefficient of $$x^{113}$$ in

$$(x^{9}+x^{8}+x^{7}+x^{6}+2 x^{5}+2 x^{4}+2 x^{3}+2 x^{2}+2x+3)^{17}$$?

Note by Ashu Dablo
2 years, 3 months ago

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Sorry if anyone feels offended, but I need a way to know this.

Even a wiki article which might help to solve this will help. · 2 years, 3 months ago

There's a last point in it which i forgot to write, I'll write it soon :P · 2 years, 2 months ago

Have you studied generating functions? · 2 years, 3 months ago

just a little. · 2 years, 3 months ago

I think you should do some research on partition integers and generating functions, and then look back at the problem. · 2 years, 3 months ago

hey finn- could you suggest some useful sources for me to learn about them?? · 2 years, 3 months ago

I'm taking a class called Combinatorial Mathematics.

https://www.edx.org/course/tsinghuax/tsinghuax-60240013x-combinatorial-3771#.VE6id4e0a-I · 2 years, 3 months ago