I guess it's not a useful measure of password strength, even if possible. Any password that doesn't repeat any letters will have identical entropy by this measure.
So 123456789 will be the same Shannon entropy as Ar4e$hUa^
Of course, if we impose password complexity requirements (e.g. must have a digit or an uppercase letter), it actually reduces the entropy in the password!
That's a different school. The University of San Diego is a private university in San Diego. UCSD is the San Diego campus of the University of California.