m. For example, answers may be written as P(52,5), 52°, 52!, etc.). osite requires users to use four character passwords made up of the lo e letters, upper case letters, and the eight symbols !, ?, @, #, $, %, &, so there are 60 characters in total that may be used). How many poss swords are there ) in total (if there are no additional restrictions on passwords)? ) if characters may not be used more than once? ) if exactly one capital letter must be used (and characters may be u more than once)?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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12.
(Note: in this question, you may leave your answer in unevaluated
form. For example, answers may be written as P(52, 5), 52°, 52!, etc.). A
website requires users to use four character passwords made up of the lower
case letters, upper case letters, and the eight symbols !, ?, @, #, $, %, &, and
(so there are 60 characters in total that may be used). How many possible
passwords are there
(a) in total (if there are no additional restrictions on passwords)?
(b) if characters may not be used more than once?
(c) if exactly one capital letter must be used (and characters may be used
more than once)?
(d) if at least one capital letter must be used (and characters may be used
more than once)?
Transcribed Image Text:12. (Note: in this question, you may leave your answer in unevaluated form. For example, answers may be written as P(52, 5), 52°, 52!, etc.). A website requires users to use four character passwords made up of the lower case letters, upper case letters, and the eight symbols !, ?, @, #, $, %, &, and (so there are 60 characters in total that may be used). How many possible passwords are there (a) in total (if there are no additional restrictions on passwords)? (b) if characters may not be used more than once? (c) if exactly one capital letter must be used (and characters may be used more than once)? (d) if at least one capital letter must be used (and characters may be used more than once)?
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