Попробуйте:
(?=^.{10}$)^([a-z]+\d[a-z0-9]*|\d+[a-z][a-z0-9]*)$
Демо
Объяснение:
(?=^.{10}$)^([a-z]+\d[a-z0-9]*|\d+[a-z][a-z0-9]*)$
(?=^.{10}$) # there's exactly 10 characters following
^( | )$ # we match the entire string, containing either:
[a-z]+\d[a-z0-9]* # letters, followed by a number, followed by alphanumerics, or
\d+[a-z][a-z0-9]* # numbers, followed by a letter, followed by alphanumerics