# Question Solved1 AnswerQuestion 2: A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters $$\{a, b, c, \ldots, x, y, z\})$$, the set of 10 digits $$\{0,1,3,4,5,6,7,8,9\}$$ and the set of 5 special characters $$\{!, @, \#, *,+\}$$. a) How many unique passwords are there? b) How many unique passwords are there where no character can be repeated and there are exactly 2 digits? c) How many unique passwords are there where you can repeat characters and there are at least 2 digits? d) How many unique passwords are there where you can repeat characters and have at least 2 digits and at least 1 special character?

VP9SJA The Asker · Computer Science

Transcribed Image Text: Question 2: A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters $$\{a, b, c, \ldots, x, y, z\})$$, the set of 10 digits $$\{0,1,3,4,5,6,7,8,9\}$$ and the set of 5 special characters $$\{!, @, \#, *,+\}$$. a) How many unique passwords are there? b) How many unique passwords are there where no character can be repeated and there are exactly 2 digits? c) How many unique passwords are there where you can repeat characters and there are at least 2 digits? d) How many unique passwords are there where you can repeat characters and have at least 2 digits and at least 1 special character?
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Transcribed Image Text: Question 2: A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters $$\{a, b, c, \ldots, x, y, z\})$$, the set of 10 digits $$\{0,1,3,4,5,6,7,8,9\}$$ and the set of 5 special characters $$\{!, @, \#, *,+\}$$. a) How many unique passwords are there? b) How many unique passwords are there where no character can be repeated and there are exactly 2 digits? c) How many unique passwords are there where you can repeat characters and there are at least 2 digits? d) How many unique passwords are there where you can repeat characters and have at least 2 digits and at least 1 special character?