document.write( "Question 950549: 1. A password must be 6, 7, or 8 characters long, and may include capital letters, lower-case letters, or digits. In how many ways could this be done
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document.write( "a. with no restriction?\r
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document.write( "b. with no repetition permitted?\r
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document.write( "c. if at least one of the characters in part a) must be a digit?
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Algebra.Com's Answer #580722 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 1. A password must be 6, 7, or 8 characters long, and may include capital \n" ); document.write( "letters, lower-case letters, or digits. In how many ways could this be done \n" ); document.write( " \n" ); document.write( "a. with no restriction? \n" ); document.write( " \r\n" ); document.write( "26 capital letters + 26 lower case letters + 10 digits = 62 characters\r\n" ); document.write( "\r\n" ); document.write( "62^6 + 62^7 + 62^8 = 221918520426688 \r\n" ); document.write( " \n" ); document.write( "b. with no repetition permitted? \n" ); document.write( " \r\n" ); document.write( "62P6 + 62P7 + 62P8 = 138848807594160\r\n" ); document.write( " \n" ); document.write( "c. if at least one of the characters in part a) must be a digit? \n" ); document.write( " \r\n" ); document.write( "That will be the answer to (a) minus the number with no digits.\r\n" ); document.write( "\r\n" ); document.write( "With no digits:\r\n" ); document.write( "\r\n" ); document.write( "26 capital letters + 26 lower case letters = 52 characters\r\n" ); document.write( "\r\n" ); document.write( "52^6 + 52^7 + 52^8 = 54507570843648\r\n" ); document.write( "\r\n" ); document.write( "Subtracting from the result of part (a)\r\n" ); document.write( "\r\n" ); document.write( "221918520426688 - 54507570843648 = 167410949583040\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |