1. Merriam-Webster’s Collegiate Dictionary, 11th ed. (Merriam- Webster, Inc., 2003), contains over 225,000 entries. Using a password-cracking tool that can process 1.7 million words per second, how long would it take to test each word in the dictionary as a possible password?
2. A virus attacks a single user’s computer and within onehour embeds itself in 50 e-mail attachment files sent out to other users. By the end of the hour, 10% of these have been opened and have infected their host machines. If this process continues, how many machines will be infected at the end of 5 hours? Can you find a formula for the number of machines infected after n hours?
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