SOLUTION: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?

Algebra ->  Permutations -> SOLUTION: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?       Log On


   



Question 865065: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?


Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"the first two digits cannot be 0", but they can be any number in the set {1,2,3,4,5,6,7,8,9}

So you have 9 choices for the first two slots. The remaining 7 slots have 10 choices (0 through 9) since 0 is allowed

So you just multiply all the choices for each slot (this is the counting principle in action)


9*9*10*10*10*10*10*10*10 = 810,000,000


as a shortcut you can compute 9%5E2%2A10%5E7 to get the same answer.

-------------------------------------------------------


Final Answer: 810,000,000


Note: this is the number 810 million


Another Note: In scientific notation, the answer is 8.1 \times 10^{8} Scientific notation is often used for really really large numbers.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
FYI
The first digit of social security numbers can be 0.