To evaluate the expression we need to remember that:
[tex]n!=n(n-1)![/tex]Then we have:
[tex]\frac{10!}{7!}=\frac{10\cdot9!}{7!}=\frac{10\cdot9\cdot8!}{7!}=\frac{10\cdot9\cdot8\cdot7!}{7!}=10\cdot9\cdot8=720[/tex]Therefore:
[tex]\frac{10!}{7!}=720[/tex]
