# Product 1

**Calculus**Level 2

If the value of the following product can be written as \( \frac{m}{n} \) for some co-prime positive integers \(n\) and \(m,\) find \(m+n:\)

\[ P = \prod_{r=4}^{50} \frac{r-3}{r+1}. \]

If the value of the following product can be written as \( \frac{m}{n} \) for some co-prime positive integers \(n\) and \(m,\) find \(m+n:\)

\[ P = \prod_{r=4}^{50} \frac{r-3}{r+1}. \]

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