17!/(10!)(6!)

asked by guest
on Nov 28, 2024 at 12:25 am



You asked:

Evaluate the expression: \(\frac{17!}{10! \cdot 6!}\)

MathBot Answer:

\[\frac{17!}{10! \cdot 6!} = 136136\]

\[\begin{aligned}\frac{17!}{10! \cdot 6!}& = 17! \cdot \frac{1}{10! \cdot 6!}\\& = 355687428096000 \cdot \frac{1}{10! \cdot 6!}\\& = 355687428096000 \cdot \frac{1}{3628800 \cdot 6!}\\& = 355687428096000 \cdot \frac{1}{3628800 \cdot 720}\\& = \frac{355687428096000}{2612736000}\\& = 136136\end{aligned}\]

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