A certain country is rapidly running out of telephone numbers. In large​ cities, telephone companies have introduced new area codes as numbers are used up. A telephone number consists of a​ three-digit area code followed by a 5​-digit number. Complete parts​ (a) and​ (b). Until​ recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0 or 1 and the third digit could not be 2. How many area codes were possible with this​ arrangement? How many telephone numbers does the current 5​-digit sequence permit per area​ code? (The first three digitsfirst three digits that follow the area code cannot start with 0 or 1 or 2. Assume that there are no other​ restrictions.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
icon
Related questions
Question

A certain country is rapidly running out of telephone numbers. In large​ cities, telephone companies have introduced new area codes as numbers are used up. A telephone number consists of a​ three-digit area code followed by a 5​-digit number. Complete parts​ (a) and​ (b). Until​ recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0 or 1 and the third digit could not be 2. How many area codes were possible with this​ arrangement? How many telephone numbers does the current 5​-digit sequence permit per area​ code? (The first three digitsfirst three digits that follow the area code cannot start with 0 or 1 or 2. Assume that there are no other​ restrictions.)

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education