As of late 2019, there were about 3,6×10⁹ domain names registered it seems[11].
Taking "ycombinator.com" and keeping just the 11 ycombinator letters, and supposing you would allow only the 26 letters of alphabet, that's about 3.6×10¹⁶. That is 7 order of magnitude bellow the number of registered entries.
The only scarcity here is the manufactured one.
http://www.circleid.com/posts/20190829_verisign_q2_2019_indu...