A computer password consists of six characters. a. How many different passwords are possible if each character may be any lowercase letter or digit?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 5ECP: How many permutations of the letters W, X, Y, and Z are possible?
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A computer password consists of six characters.
How many different passwords are possible if each character may be any lowercase letter or
digit?
а.
b. How many different passwords are possible if each character may be any lowercase letter or
digit, and at least one character must be a digit?
c. A computer system requires that passwords contain at least one digit. If seven characters
are generated at random, and each is equally likely to be any of the 26 letters or 10 digits,
what is the probability that a valid password will be generated?
Transcribed Image Text:A computer password consists of six characters. How many different passwords are possible if each character may be any lowercase letter or digit? а. b. How many different passwords are possible if each character may be any lowercase letter or digit, and at least one character must be a digit? c. A computer system requires that passwords contain at least one digit. If seven characters are generated at random, and each is equally likely to be any of the 26 letters or 10 digits, what is the probability that a valid password will be generated?
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