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, how many passwords would be possible?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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1. 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, how many passwords would be possible?

2. 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?  

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