A Social Security number has nine digits. How many Social Security numbers are possible?
A Social Security number has nine digits. How many Social Security numbers are possible?
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter6: Statistical Inference
Section: Chapter Questions
Problem 5P: One of the questions in the Pew Internet & American Life Project asked adults if they used the...
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![**Question:**
A Social Security number has nine digits. How many Social Security numbers are possible?
**Options:**
- ○ 1,000,000,000
- ○ 362,880
- ○ 40,320
- ○ 999,999,999
- ○ 800,000,000
---
This question challenges students to calculate the total number of possible combinations for a nine-digit Social Security number. Each digit can range from 0 to 9, and every position in the sequence can be any of the ten possible values, making this a permutation problem without repetition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7617e6a3-d280-4f44-97ed-ed73937ef3e9%2F7ece2232-1fa2-402b-b328-855caca0089f%2F7fkxm35_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
A Social Security number has nine digits. How many Social Security numbers are possible?
**Options:**
- ○ 1,000,000,000
- ○ 362,880
- ○ 40,320
- ○ 999,999,999
- ○ 800,000,000
---
This question challenges students to calculate the total number of possible combinations for a nine-digit Social Security number. Each digit can range from 0 to 9, and every position in the sequence can be any of the ten possible values, making this a permutation problem without repetition.
Expert Solution
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Step 1
There are nine digits in a Social Security number, so one billion Social Security numbers are possible.
There are nine digits in a Social Security number, so each digit can be any number from 0 to 9. That means there are 10 possible digits for each position. So, for the first digit, there are 10 possibilities. For the second digit, there are 10 more possibilities, and so on. That means there are 10 multiplied by 10, multiplied by 10, multiplied by 10, multiplied by 10, multiplied by 10, multiplied by 10, multiplied by 10, multiplied by 10 possibilities, or 10^9, which is one billion.
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