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An online account password for a certain website consists of eight characters, where at least one...

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Basic Math

An online account password for a certain website consists ofeight characters, where at least one must be a digit (i.e. a numberfrom 0-9).

a. How many different passwords are possible if only lowercaseletters and digits can be used?

b. How many different passwords are possible if a user wants toinclude single capital letter somewhere in their password?

c. If a computer program randomly generates eight characters(such that each could be either a digit or any lowercase letter),what is the probability that a valid password is generated?

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