Tuesday, December 20, 2011

Area codes?

As of March, 2007 there are 283 area codes in use for the 50 US states and the population of the United States is approximately 300,000,000 people. How many different phone numbers are possible? Are there enough phone numbers available so that each citizen of the United States can have their own phone number?|||283*10000000 = 2,830,000,000





That's 2.83 billion numbers.





Yes, each citizen of the US could have his/her own number (there are only 300,000,000 people in the U.S.). In fact, each person could have 9 numbers.|||The number of possible telephone numbers (excluding the area code) is 10^7 since there can be duplicate numbers and there are 10 digits. I don't know about technicalities of phone numbers (like all 0's or anything). You know that there are 283 different area codes available. Just multiply these two together to get the total number of phone numbers.





283 * 10^7


2,830,000,000





2,830,000,000 is far more than 300,000,000, so you're safe to say yes, each citizen can have their own phone number|||So what's the result of 283 area codes combined with 7-digit telephone numbers|||My answer is just an educated guess. For the last 4 numbers, you could have between 0000 and 9999. That is 10000 possibilities. Then you have between 000 and 999 for prefixes. I don't know for sure what numbers are possible for prefixes except 555 is only used in the movies. So that gives you 999 possibilities. Then you have 283 area codes. I may be over simplifying it but wouldn't you just multiply all the numbers? If so, you get way more than 300000000.(2827170000)

No comments:

Post a Comment