Thursday, 26 January 2017

contest math - Find the coefficient of $x^{19}$ in the expression $(x+1)(x+2)(x+3)cdots (x+400)$

Find the coefficient of $x^{19}$ in the expression $(x+1)(x+2)(x+3)\cdots (x+400)$



I have no clue how to start. Any kind of help will be appreciated.

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