7!/(5!*2!)=

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



You asked:

Evaluate the expression: \(\frac{7!}{5! \cdot 2!}\)

MathBot Answer:

\[\frac{7!}{5! \cdot 2!} = 21\]

\[\begin{aligned}\frac{7!}{5! \cdot 2!}& = 7! \cdot \frac{1}{5! \cdot 2!}\\& = 5040 \cdot \frac{1}{5! \cdot 2!}\\& = 5040 \cdot \frac{1}{120 \cdot 2!}\\& = 5040 \cdot \frac{1}{120 \cdot 2}\\& = \frac{5040}{240}\\& = 21\end{aligned}\]

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