here the digit is a security number is 9
so we have 9 places here,
a single place can contain digit 0 to 9
so total 10 digit is possible at one place,
for the 9 places, the possible numbers can be
[tex]10^9[/tex]so the answer is 10^9
[tex]10^9\text{ different social security numbers can be formed.}[/tex]