document.write( "Question 706401: Mark wants to create several passwords for several accounts. Each password is 9 characters consisting of arangements of the 4 letters of his name followed by 5 digits from his birthdate 8/21/73. How many passwords can he create ? \n" ); document.write( "

Algebra.Com's Answer #435125 by jim_thompson5910(35256) $\"\"$ $\"About$

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There are 4! = 4*3*2*1 = 24 ways to arrange the letters of the name \"mark\"\r
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\n" ); document.write( "\n" ); document.write( "There are 5! = 5*4*3*2*1 = 120 ways to arrange the digits: 8, 2, 1, 7, 3\r
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\n" ); document.write( "\n" ); document.write( "So there are 24*120 = 2,880 different passwords\r
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\n" ); document.write( "\n" ); document.write( "This may sound like a lot, but to a computer this is nothing. A computer can try thousands of passwords a second. So Mark is better off using all the letters of the alphabet (both lower and upper case) along with all ten numeral digits to get a really safe password. \n" ); document.write( "

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