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Suppose your company's website only allows passwords with lower-case letters (no upper-case letters, no numbers, no special characters) that are exactly of length 12. Now your company wants to increase the security by making the password harder to guess. Your boss asks to increase the password length by 3 letters. You suggest keeping the length as it is but allowing upper-case letters in addition to lower-case letters. By what factor does your proposal increase the number of possibilities compared to your boss' proposal (i. e., what is the ratio of possibilities under your proposal divided by the possibilities under your boss' proposal)

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Suppose your company's website only allows passwords with lower-case letters (no upper-case letters,...

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