According to the website wordfinder.yourdictionary.com, the English language has approximately 20,000 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. If people form their password by taking an English word of exactly 6 letters (assume that this password is not case-sensitive) and then adding (in either order) a digit and a special character (eg flames#1), how many passwords would be possible? (Hint: Find the number of passwords with 6 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 that we still have a 6 letter word, but now we assume that both the digit and the special character can be inserted into the word in any position (e.g. fla#me1s)?
According to the website wordfinder.yourdictionary.com, the English language has approximately 20,000 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. If people form their password by taking an English word of exactly 6 letters (assume that this password is not case-sensitive) and then adding (in either order) a digit and a special character (eg flames#1), how many passwords would be possible? (Hint: Find the number of passwords with 6 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 that we still have a 6 letter word, but now we assume that both the digit and the special character can be inserted into the word in any position (e.g. fla#me1s)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![According to the website wordfinder.yourdictionary.com, the English language has
approximately 20,000 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. If people form their password by taking an English word of exactly 6
letters (assume that this password is not case-sensitive) and then adding (in either order) a digit
and a special character (eg flames#1), how many passwords would be possible?
(Hint: Find the number of passwords with 6 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 that we still have a 6 letter word, but now we
assume that both the digit and the special character can be inserted into the word in any position
(e.g. fla#me1s)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1291fb8a-5217-4059-9cb5-7435ef1d93a0%2Fc0ef7320-e14c-4470-94b8-875de7a0f0bb%2Fudkccic.png&w=3840&q=75)
Transcribed Image Text:According to the website wordfinder.yourdictionary.com, the English language has
approximately 20,000 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. If people form their password by taking an English word of exactly 6
letters (assume that this password is not case-sensitive) and then adding (in either order) a digit
and a special character (eg flames#1), how many passwords would be possible?
(Hint: Find the number of passwords with 6 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 that we still have a 6 letter word, but now we
assume that both the digit and the special character can be inserted into the word in any position
(e.g. fla#me1s)?
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