15!/10!5!

asked by guest
on Jan 12, 2025 at 6:34 pm



You asked:

Evaluate the expression: \(\frac{15!}{10! \cdot 5!}\)

MathBot Answer:

\[\frac{15!}{10! \cdot 5!} = 3003\]

\[\begin{aligned}\frac{15!}{10! \cdot 5!}& = 15! \cdot \frac{1}{10! \cdot 5!}\\& = 1307674368000 \cdot \frac{1}{10! \cdot 5!}\\& = 1307674368000 \cdot \frac{1}{3628800 \cdot 5!}\\& = 1307674368000 \cdot \frac{1}{3628800 \cdot 120}\\& = \frac{1307674368000}{435456000}\\& = 3003\end{aligned}\]

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