MAT 217: Chapter 7 Project 2 With the rapid growth in the use of cellular phones, the number of available phone numbers had to be increased. This was accomplished by increasing the number of available area codes in the United States. In this project, you will be investigating area codes and how they have been expanded. Here are some important facts that you need to know about current area codes: An area code contains 3 digits An area code cannot begin with a 0 or a 1 Use what you have learned about the fundamental counting principle, permutations, and combinations to answer the questions below: 1. When the second and third digits of an area code are the same, that code is called an easily recognizable code (ERC). ERCs designate special services. a. How many total ERCs are there? b. ERCs that end in \"11\" (like 911) are called service codes and are not used as area codes. How many service codes are there? c. Toll-free numbers are a specific example of ERCs. Find out the ERCs that are currently used for toll-free numbers and list those ERCs. d. Assume there are no restrictions on the remaining 7 digits in a phone number except they cannot begin with a 1 or 0. How many total toll-free phone numbers are there currently available? 2. Prior to 1995, all area codes had a 0 or a 1 as the middle digit. a. How many ERCs were there prior to 1995? b. How many area codes (not including ERCs) were available prior to 1995? 3. In 1995, the middle-digit restrictions were removed. How many additional area codes (not including ERCs) became available? Project Guidelines This project is worth 50 points. Use what you have learned about counting, the fundamental counting principle, permutations, and combinations to complete this project. You may also have to do some research to answer some of the questions. You may use the web, but make sure that you are using a reliable source and verifying what you get with multiple sources! While you may work together to arrive at your answers for this project, everyone should turn in their own individual write up. Your write up for this project should include: 1. Answers for each question in complete sentences. 2. All math steps used to arrive at your answers to each question. 3. A brief explanation of the method you used to get your answers to each question. Remember... All written answers and explanations should be in complete sentences. You may type or handwrite the assignment, but remember you will be graded on neatness and the professional appearance of your final product as well as the accuracy of your answer! Project Due Date This project is due by 11:59 P.M. on Thursday, November 12th