Answer
$2,000,000$
Work Step by Step
If the number starts with 023, the other 6 digits can be 10 different digits. This gives $10^6$ Social Security Numbers.
If the number starts with 003, the other 6 digits can be 10 different digits. This gives $10^6$ Social Security Numbers.
Overall there are $10^6*2=2,000,000$ Social Security Numbers that begin with either 023 or 003
