In a certain​ country, area codes have six digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, 3, or 4​; the second digit can only be 0, 1, or 2​; and there are no restrictions on the remaining digits. How many different area codes are​ possible? Express the number of area codes as a product.   Total number of area codes​ = ​(Do not​ multiply.) The number of possible area codes is ​(Simplify your​ answer.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 21E: License Plate Numbers In the state of Pennsylvania, each standard automobile license plate number...
Question

In a certain​ country, area codes have six digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, 3, or 4​; the second digit can only be 0, 1, or 2​; and there are no restrictions on the remaining digits. How many different area codes are​ possible?

Express the number of area codes as a product.
 
Total number of area codes​ =
​(Do not​ multiply.)
The number of possible area codes is
​(Simplify your​ answer.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,