A company‘s computer system requires passwords to be 7 to 9 characters long, and ...
A company‘s computer system requires passwords
to be 7 to 9 characters long, and
to consist of uppercase and lowercase letters {A, a, B, b, C, c,
. . . , Z, z}, digits {0, 1, 2, 3, . . . , 9} and the special
characters {&, #, $, *, +, _}, and
to contain at least one special character or digit.
How many such passwords are there?
Homework Answers
Total special characters = 6
Total digits = 10
Total alphabets = 26 + 26 = 52
Total characters = 6 + 10 + 52 = 68
Total possible passwords = 68^7 + 68^8 + 68^9
Password with no special character or digit = 52^7 + 52^8 + 52^9
Required passwords as per question = 68^7 + 68^8 + 68^9 - ( 52^7 + 52^8 + 52^9) = 2.8716592841031680 * 10^16
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