Evaluate: (174 !)/(171 !)

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Expression: $\frac{ 174 ! }{ 171 ! }$

Use $n !=n \times \left( n-1 \right) !$ to expand the expression

$\frac{ 174 \times 173 \times 172 \times 171 ! }{ 171 ! }$

Cancel out the common factor $171 !$

$174 \times 173 \times 172$

Calculate the product

$\begin{align*}&5177544 \\&5.177544 \times {10}^{6}\end{align*}$

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