6!/(4!*2!)=

asked by guest
on Nov 14, 2024 at 12:48 am



You asked:

Evaluate the expression: \(\frac{6!}{4! \cdot 2!}\)

MathBot Answer:

\[\frac{6!}{4! \cdot 2!} = 15\]


\[\begin{aligned}\frac{6!}{4! \cdot 2!}& = 6! \cdot \frac{1}{4! \cdot 2!}\\& = 720 \cdot \frac{1}{4! \cdot 2!}\\& = 720 \cdot \frac{1}{24 \cdot 2!}\\& = 720 \cdot \frac{1}{24 \cdot 2}\\& = \frac{720}{48}\\& = 15\end{aligned}\]