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Password Problems

Combinatorics

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Three Digits Known

How many passwords do you need to try to be sure to find the correct one?

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Two Digits Known

How many passwords do you need to try now?

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All Passwords

How many different 4-digit passwords can you create in total?

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Palindromes

How many palindromic passwords are there in total?

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Repeaters (ABAB)

How many repeating passwords (ABAB pattern) are there in total?

Unsafe Passwords

How many total unsafe passwords are there (palindromes and repeaters together)?

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Screen Traces

How many passwords must you try at minimum to be sure to guess the correct one? (Variant with digits 4, 5, 7, 8)

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School Number

How many passwords contain "56" consecutively?

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Without 5 and 6

How many passwords do NOT contain the digits 5 and 6?