A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters {a, b, c, ..., 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters {a, b, c, ..., 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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