Question

Evaluate the factorial expression.10!/7!

Answer 1

To evaluate the expression we need to remember that:

$n!=n(n-1)!$

Then we have:

$\frac{10!}{7!}=\frac{10\cdot9!}{7!}=\frac{10\cdot9\cdot8!}{7!}=\frac{10\cdot9\cdot8\cdot7!}{7!}=10\cdot9\cdot8=720$

Therefore:

$\frac{10!}{7!}=720$