Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Problem 1. Let's consider the number of possibilities for a password. The following characters are allowed in our passwords: 26 lowercase letters ('a' to 'z'), 26 uppercase letters ('A' to 'Z'), and 10 digits ('0' to '1'). (a) How many possible password combinations are there of 8 to 12 characters? (This includes passwords of length 8 and 12.) (b) Suppose these passwords are no longer case sensitive. For example, 'a' and 'A' are no longer viewed as distinct characters. Now how many distinct possible password combinations are there? (c) Now, suppose our passwords are case sensitive again. Suppose passwords must be exactly 8 characters long and have exactly 1 number. How many password combinations are possible?

Problem 1. Let's consider the number of possibilities for a password. The following characters are allowed in our passwords: 26 lowercase letters ('a' to 'z'), 26 uppercase letters ('A' to 'Z'), and 10 digits ('0' to '1'). (a) How many possible password combinations are there of 8 to 12 characters? (This includes passwords of length 8 and 12.) (b) Suppose these passwords are no longer case sensitive. For example, 'a' and 'A' are no longer viewed as distinct characters. Now how many distinct possible password combinations are there? (c) Now, suppose our passwords are case sensitive again. Suppose passwords must be exactly 8 characters long and have exactly 1 number. How many password combinations are possible?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
See similar textbooks
icon
Related questions
Question

leave answers as the sum and product of numbers. No need to calculate

Problem 1. Let's consider the number of possibilities for a password. The following characters are allowed in our passwords: 26 lowercase letters ('a' to 'z'), 26 uppercase letters ('A' to 'Z'), and 10 digits ('0' to '1'). (a) How many possible password combinations are there of 8 to 12 characters? (This includes passwords of length 8 and 12.) (b) Suppose these passwords are no longer case sensitive. For example, 'a' and 'A' are no longer viewed as distinct characters. Now how many distinct possible password combinations are there? (c) Now, suppose our passwords are case sensitive again. Suppose passwords must be exactly 8 characters long and have exactly 1 number. How many password combinations are possible?
Transcribed Image Text:Problem 1. Let's consider the number of possibilities for a password. The following characters are allowed in our passwords: 26 lowercase letters ('a' to 'z'), 26 uppercase letters ('A' to 'Z'), and 10 digits ('0' to '1'). (a) How many possible password combinations are there of 8 to 12 characters? (This includes passwords of length 8 and 12.) (b) Suppose these passwords are no longer case sensitive. For example, 'a' and 'A' are no longer viewed as distinct characters. Now how many distinct possible password combinations are there? (c) Now, suppose our passwords are case sensitive again. Suppose passwords must be exactly 8 characters long and have exactly 1 number. How many password combinations are possible?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS