Answer
$1260$
Work Step by Step
We know that $n!=n\cdot(n-1)\cdot (n-2)\cdot 3\cdot2\cdot 1$
Use this definition to obtain:
$$\require{cancel} \displaystyle \frac{3! \cdot 7!}{4!} =\frac{(3 \cdot 2 \cdot 1 ) \cdot (7 \cdot6\cdot5\cdot \cancel{4})}{\cancel{4!}}\\
=(6) (7)(6)( 5 ) \\
=1260$$
