GMAT Problem Solving Question 22: Counting digits

 
The following GMAT Problem Solving question tests your understanding of counting principles.

Question 22:

How many three-digit numbers have at least one $2$ and at least one $3$ ?

1. $\quad 52$
2. $\quad 54$
3. $\quad 56$
4. $\quad 58$
5. $\quad 60$