SOLUTION: Susan is using a computer program and must change her password. The prompt states that her password must be five characters long from a set of 12 unique characters, to be used in t

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Question 1180545: Susan is using a computer program and must change her password. The prompt states that her password must be five characters long from a set of 12 unique characters, to be used in the password only once. ( no repetitions of characters allowed in the password)
How many different ways are there for Susan to choose her new password?

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

12 opportunities for the 1-st position

11 opportunities for the 2-nd position

10                       3-rd

 9                       4-th

 8                       5-th position



So, in all, there are  12*11*10*9*8 = 95040  different passwords.

Solved, answered, carefully explained, and even the standard mantra is attached - - - for your future use.


                            E N J O Y (!)


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See the lesson
    - Special type permutations problems

in this site. Find there many solved similar problems.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.