6!/(4!*2!)=
You asked:
Evaluate the expression: \(\frac{6!}{4! \cdot 2!}\)
MathBot Answer:
\[\frac{6!}{4! \cdot 2!} = 15\]
\[\begin{aligned}\frac{6!}{4! \cdot 2!}& = 6! \cdot \frac{1}{4! \cdot 2!}\\& = 720 \cdot \frac{1}{4! \cdot 2!}\\& = 720 \cdot \frac{1}{24 \cdot 2!}\\& = 720 \cdot \frac{1}{24 \cdot 2}\\& = \frac{720}{48}\\& = 15\end{aligned}\]