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