Possible Password Combinations Using the Fundamental Theorem of Counting

by Pamela Richa

Submitted : Spring 2022

Password length requirements, along with certain character requirements can improve the overall security of a password. Brute force attacks coupled with escalating computing capabilities have made password length requirements an important part of information security. The Fundamental Theorem of Counting is used to compare the possible combinations of passwords using 8 characters versus 12 characters. Passwords containing 12 characters have substantially more possible combinations than a password with 8 characters.

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