The largest \mathrm{n} \in \mathbf{N} such that 3^{\mathrm{n}} divides 50 ! is :

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Answer: A. 22 \begin{aligned} & V_3(50!)=\left[\frac{50}{3}ight]+\left[\frac{50}{9}ight]+\left[\frac{50}{27}ight]+\left[\frac{50}{81}ight]+\ldots+\left[\frac{50}{3^n}ight] \ & =16+5+1+0+0+0 \ldots=22 \end{aligned}

The largest $\mathrm{n} \in \mathbf{N}$ such that $3^{\mathrm{n}}$ divides 50 ! is :

Answer

Explanation

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