document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #641989 by mathmate(429) $\"\"$ $\"About$

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\n" ); document.write( "Question:
\n" ); document.write( "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?
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "The word soundview has 9 distinct characters.
\n" ); document.write( "The number of ways 5 selected letters can be arranged is the permutation of 5 objects chosen out of 9, or
\n" ); document.write( " $\"P%289%2C5%29=9%21%2F%289-5%29%21\"$
\n" ); document.write( "=9*8*7*6*5
\n" ); document.write( "= 15120
\n" ); document.write( "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.
\n" ); document.write( "So by the multiplication rule, there are 9*8*7*6*5 = 15120 passwords. \n" ); document.write( "

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