Question 1026710: Jane wants to create a password for one of her Internet accounts using some portion of her street name, which is “soundview.” If the password is restricted to 5 characters, how many different passwords can she create?
Answer by mathmate(429)   (Show Source):
You can put this solution on YOUR website!
Question:
Jane wants to create a password for one of her Internet accounts using some portion of her street name, which is “soundview.” If the password is restricted to 5 characters, how many different passwords can she create?
Solution:
The word soundview has 9 distinct characters.
The number of ways 5 selected letters can be arranged is the permutation of 5 objects chosen out of 9, or
=9*8*7*6*5
= 15120
Alternatively, for the first letter there are 9 choices, for the second letter,there are 8 choices...until the fifth letter, there are 5 choices.
So by the multiplication rule, there are 9*8*7*6*5 = 15120 passwords.
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