Tangent here, this is my first time to ever join a forum. I hope to make some friends who are also mathematical minded. I love doing all sorts of math especially mental math. I'm a math tutor and I love teaching math to any body who is willing to learn.
Welcome to the forum!
In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.