Allowing digits and special characters (as well as case-sensitive letters) creates an enormous number of passwords. However, computers can check passwords very quickly. Let’s say that a computer can check approximately 130 million passwords per second. a) How long (in minutes) would it take a computer to check every possible 4 character password? b) How long (in years) would it take a computer to check every possible 8 character password?
3) Allowing digits and special characters (as well as case-sensitive letters) creates an enormous number of passwords. However, computers can check passwords very quickly. Let’s say that a computer can check approximately 130 million passwords per second.
a) How long (in minutes) would it take a computer to check every possible 4 character password?
b) How long (in years) would it take a computer to check every possible 8 character password?
4) Question 2 asked you to compute the number of possible passwords with various numbers of characters. However, it seems more likely that most people will choose actual words for their password. According to the website wordfinder.yourdictionary.com, the English language has approximately 27,000 six-letter words.
a) Assume that a password must be at least 8 characters long and include at least 1 digit and at least 1 special character (again, assume there are 28 of these). If people form their password by taking an English word of exactly 4 letters (assume that this password is not case-sensitive) and then adding (in either order) a digit and a special character (e.g papaya#5), how many passwords would be possible?
(Hint: Find the number of passwords with 4 letters followed by a digit and a special character, then exchange the order of the last two characters.)
b) How does your answer change if we assume passwords are case-sensitive and the password must include at least one capital letter and one small letter (e.g. papaya#5 would no longer be valid, but Papaya#5 and PaPayA#5 would both be valid and would be two distinct passwords)?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
