8!4!/3!

asked by guest
on Jan 12, 2025 at 6:30 pm



You asked:

Evaluate the expression: \(\frac{8! \cdot 4!}{3!}\)

MathBot Answer:

\[\frac{8! \cdot 4!}{3!} = 161280\]


\[\begin{aligned}\frac{8! \cdot 4!}{3!}& = 8! \cdot 4! \cdot \frac{1}{3!}\\& = 40320 \cdot 4! \cdot \frac{1}{3!}\\& = 40320 \cdot 24 \cdot \frac{1}{3!}\\& = 40320 \cdot \frac{24}{6}\\& = 40320 \cdot 4\\& = 161280\end{aligned}\]