SOLUTION: Social Security numbers are in the form ###-##-####, where each symbol represents any number 0-9. How many Social Security numbers are possible using this format? Will we ever ru

Algebra ->  Permutations -> SOLUTION: Social Security numbers are in the form ###-##-####, where each symbol represents any number 0-9. How many Social Security numbers are possible using this format? Will we ever ru      Log On


   



Question 227895: Social Security numbers are in the form ###-##-####, where each symbol represents any number 0-9. How many Social Security numbers are possible using this format? Will we ever run out of Social Security numbers?
Would it be 90 factorial? Thank you.
Jim

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There are 9 digits, so they could be a nine-digit number. The hyphens don't count.
That's 10^9 = 1,000,000,000 numbers (from 0 to 999,999,999)
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We have no way of knowing if we will "run out" of SS numbers. Arithmetic cannot predict the future.