Show that $7!\cdot 6!=10!$

Question

I am trying to show that $$7!\cdot 6!=10!$$ but for some reason I don't see it. We can note that $7!=7\cdot 6!$ but what? Is there a general formula for the product of the factorials of two consecutive natural numbers?

Answer 1

$$6!=720=10×9×8.$$

So

$$10!=10×9×8×7!=720×7!=6!7!.$$

Is there any more to it than that.