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To determine the viable cell count of a bacterial culture, you have plated $50 ~\mu \mathrm{~L}$ of a $100$ -fold diluted sample of the culture on a nutrient agar plate and obtained $20$ colonies after overnight incubation. The viable cell count of the culture is $\_\_\_\_$ $\mathrm{CFU} \mathrm{mL}^{-1}$. (answer in integer)

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