The digit $3$ appears in the ones place: $3$, $13$, $23$,  The digit $3$ appears in the tens place: $30, 31, 32, 33, 34, 35$  In total, $3 + 6 = 9$. 
Students\textquotesingle~seat numbers are from $$1$$ to $$35$$. How many times does digit $$3$$ appear? (adapted from $$2002$$ Math Kangaroo Problem, Level $$3$$ - $4$, Question \#$9$) 
Options:
  * $$2$$ 
  * $$4$$ 
  * $$9$$ 
  * $$16$$ 
  * $$32$$ 