10!/7!3!

asked by guest
on Jan 12, 2025 at 6:33 pm



You asked:

Evaluate the expression: \(\frac{10!}{7! \cdot 3!}\)

MathBot Answer:

\[\frac{10!}{7! \cdot 3!} = 120\]

\[\begin{aligned}\frac{10!}{7! \cdot 3!}& = 10! \cdot \frac{1}{7! \cdot 3!}\\& = 3628800 \cdot \frac{1}{7! \cdot 3!}\\& = 3628800 \cdot \frac{1}{5040 \cdot 3!}\\& = 3628800 \cdot \frac{1}{5040 \cdot 6}\\& = \frac{3628800}{30240}\\& = 120\end{aligned}\]

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