A telephone number consists of 7 digits. How many phone numbers are possible if the first digit is neither 7, 6, 5, 4, 3, 2, 1 nor 0? (Enter an exact number.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 35SE: The set, S consists of 900,000000 whole numbers, each being the same number of digits long. How many...
icon
Related questions
Question

A telephone number consists of 7 digits. How many phone numbers are possible if the first digit is neither 7, 6, 5, 4, 3, 2, 1 nor 0? (Enter an exact number.)
 

Expert Solution
Step 1

The formation of a telephone number is a significant use of counting. A telephone number consists of digits from 0 to 9. By different arrangements, different telephone numbers can be formed. It is an arrangement with repetition. In a telephone number, digits are allowed to repeat. The base of this formation is the fundamental principle of counting. When a work is done in n different ways and for each of these ways, another work can be performed in m different ways, together, the two works can be completed in mn different ways. Based on this fact, the formation of telephone numbers using 9 different digits is done. 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,