8!4!/3!
You asked:
Evaluate the expression: \(\frac{8! \cdot 4!}{3!}\)
MathBot Answer:
\[\frac{8! \cdot 4!}{3!} = 161280\]
\[\begin{aligned}\frac{8! \cdot 4!}{3!}& = 8! \cdot 4! \cdot \frac{1}{3!}\\& = 40320 \cdot 4! \cdot \frac{1}{3!}\\& = 40320 \cdot 24 \cdot \frac{1}{3!}\\& = 40320 \cdot \frac{24}{6}\\& = 40320 \cdot 4\\& = 161280\end{aligned}\]