Each user on a computer system has a password, which is six toeight characters long, where each character is an uppercase letteror a special character from ! @ # % * &(six in total). Eachpassword must contain at least one uppercase letter. How manypossible passwords are there? (A calculation formula will besufficient; no need to compute the exact number.). (For discretestructure).
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Passwords Suppose a password must have at least 8 characters, but no more than 12 characters, made up of letters (without distinction for case) and digits. If the password must contain at least one letter and at least one digit, how many passwords are possible?
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A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a-z) or 10 integers (0-9). Suppose there are 10,000 users of the system with unique passwords. A hacker randomly selects (with replacement) one billion passwords from the potential set, and a match to a user's password is called a hit. (a) What is the distribution of the number of hits? (b) What is the probability of no hits? (c) What are the mean and variance of the number of hits? | Nu
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