Answer
$210$
Work Step by Step
Cancelling the common factors between the numerator and the denominator, the given expression, $
\dfrac{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{4\cdot3\cdot2\cdot1}
,$ is equivalent to
\begin{align*}\require{cancel}
&
\dfrac{7\cdot6\cdot5\cdot\cancel{4\cdot3\cdot2\cdot1}}{\cancel{4\cdot3\cdot2\cdot1}}
\\\\&=
7(6)(5)
\\&=
210
.\end{align*}
Hence, the given expression simplifies to $
210
.$
