Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters * , < , > ! and # (a) How many different passwords are available for this computer system? (b) How many of th

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters * , < , > ! and # (a) How many different passwords are available for this computer system? (b) How many of these passwords contain at least one occurrence of at least one of the five special characters? (c) Using your answer to part (b), determine how long it takes a hacker to try every possible password, assuming that it takes one microsecond for a hacker to check each possible password. Please solve all 3 sub questions
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