# Tougher than the last two

Algebra Level 5

Find the coefficient of $$x^{40}$$ in the expansion of the product below.

$\large{\prod _{ n=1 }^{ 50 }{ \left( x+4n \right) } }$

The length of the answer is nearly 35 digits so when you know the trick you may use a calculator and please post the solution.

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