This is a combinatorics math counting problem: Suppose you are trying to create a password for your new email account. The account requires that everyone uses a secure password (this means that the password contains at least one of each: a number, a special character, an uppercase letter, and a lowercase letter). How many secure passwords could you create that have a length of 8? Note: A number is defined as a number between 0-9 (so 10 numbers available), there are 26 uppercase letters and 26 lowercase letters that can be used. Finally, there are 15 special characters allowed to create the password.
This is a combinatorics math counting problem: Suppose you are trying to create a password for your new email account. The account requires that everyone uses a secure password (this means that the password contains at least one of each: a number, a special character, an uppercase letter, and a lowercase letter). How many secure passwords could you create that have a length of 8? Note: A number is defined as a number between 0-9 (so 10 numbers available), there are 26 uppercase letters and 26 lowercase letters that can be used. Finally, there are 15 special characters allowed to create the password.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
Related questions
Question
This is a combinatorics math counting problem:
Suppose you are trying to create a password for your new email account. The account requires that everyone uses a secure password (this means that the password contains at least one of each: a number, a special character, an uppercase letter, and a lowercase letter). How many secure passwords could you create that have a length of 8?
Note: A number is defined as a number between 0-9 (so 10 numbers available), there are 26 uppercase letters and 26 lowercase letters that can be used. Finally, there are 15 special characters allowed to create the password.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
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)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,