How many 4-digit number can be formed out of 1,2,3,4,5,7 and 8 if: a. There is no restriction. b. Each digit can be used more than once. c. The last digit must be odd with no repetition. d. The last digit must be odd with no repetition. e. It must start with 3 or 4 with no repetition. f. It can not start with 3 with no repetition. g. It must have both odd and even digits with repetition.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
icon
Related questions
Question
How many 4-digit number can be formed out of 1,2,3,4,5,7 and 8 if:
a. There is no restriction.
b. Each digit can be used more than once.
c. The last digit must be odd with no repetition.
d. The last digit must be odd with no repetition.
e. It must start with 3 or 4 with no repetition.
f. It can not start with 3 with no repetition.
g.
It must have both odd and even digits with repetition.
Transcribed Image Text:How many 4-digit number can be formed out of 1,2,3,4,5,7 and 8 if: a. There is no restriction. b. Each digit can be used more than once. c. The last digit must be odd with no repetition. d. The last digit must be odd with no repetition. e. It must start with 3 or 4 with no repetition. f. It can not start with 3 with no repetition. g. It must have both odd and even digits with repetition.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
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:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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