19!/10!9!

asked by guest
on Nov 19, 2024 at 4:40 am



You asked:

Evaluate the expression: \(\frac{19!}{10! \cdot 9!}\)

MathBot Answer:

\[\frac{19!}{10! \cdot 9!} = 92378\]

\[\begin{aligned}\frac{19!}{10! \cdot 9!}& = 19! \cdot \frac{1}{10! \cdot 9!}\\& = 121645100408832000 \cdot \frac{1}{10! \cdot 9!}\\& = 121645100408832000 \cdot \frac{1}{3628800 \cdot 9!}\\& = 121645100408832000 \cdot \frac{1}{3628800 \cdot 362880}\\& = \frac{121645100408832000}{1316818944000}\\& = 92378\end{aligned}\]

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