# The \(49^\text{th} \) Coefficient

**Algebra**Level 5

Find the coefficient of \(x^{49}\) in the following product.

\[\prod_{n=1}^{52} (x+n).\]

Find the coefficient of \(x^{49}\) in the following product.

\[\prod_{n=1}^{52} (x+n).\]

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