Social Security Numbers

Every citizen in the United States is given a distinct social security number. This number is used in many ways to identify each and every one of us. In fact, in this school, your social security number is also your student number. Imagine what would happen if two of you had the same number. It would be impossible for the school to keep track of exactly WHO you are, what you have accomplished, and your general student progress. It is absolutely essential that no two social security numbers are the same for these types of reasons.

1. How many social security numbers are possible in our current system?







2. Is this enough to give all citizens their own social security number?



How do you know this?







Part II

In order to complete the last portion of this assignment you will need to do some research in our library. Remember to take good notes and cite all references.

Please discuss all of your ideas in a small group setting prior to starting your research.

Use another sheet of paper for your solution.

Your answer must be in a paragraph form.

Using your knowledge about population growth and other necessary resources in the library, when will this 9 digit identification number (social security number) no longer work in our country? (In other words, WHAT YEAR?!) What suggestions could you make so that we could continue using a system like this in the future.

(Be sure to include all mathematics, data, sources, tables and/or other relevant information in this solution.)


The Discrete Mathematics Project