document.write( "Question 1081691: a) FIND NUMBER OF DIFFERENT CODES CONSISTING OF 3 LETTERS FOLLOWED
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Algebra.Com's Answer #695866 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
a) FIND NUMBER OF DIFFERENT CODE CONSISTING OF 3 LETTERS FOLLOWED
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document.write( "If you cannot repeat letters or digits:\r\n" );
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document.write( "Choose the first letter 4 ways.\r\n" );
document.write( "Choose the second letter 3 ways.\r\n" );
document.write( "Choose the third letter 2 ways.\r\n" );
document.write( "Choose the first digit 6 ways.\r\n" );
document.write( "Choose the second digit 5 ways.\r\n" );
document.write( "Choose the third digit 4 ways.\r\n" );
document.write( "Choose the fourth digit 3 ways.\r\n" );
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document.write( "That's 4×3×2×6×5×4×3 = 8640\r\n" );
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document.write( "If you CAN repeat letters or digits:\r\n" );
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document.write( "Choose the first letter 4 ways.\r\n" );
document.write( "Choose the second letter 4 ways.\r\n" );
document.write( "Choose the third letter 4 ways.\r\n" );
document.write( "Choose the first digit 6 ways.\r\n" );
document.write( "Choose the second digit 6 ways.\r\n" );
document.write( "Choose the third digit 6 ways.\r\n" );
document.write( "Choose the fourth digit 6 ways.\r\n" );
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document.write( "That's 4×4×4×6×6×6×6 = 82944\r\n" );
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\n" ); document.write( "b)FIND THE NUMBER OF 3-LETTER CODE WORDS THAT CAN BE MADE FROM
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document.write( "That can be interpreted as\r\n" );
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document.write( "1. The two P's MUST be used\r\n" );
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document.write( "or\r\n" );
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document.write( "2. The two P's MAY be used.\r\n" );
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document.write( "1. If the two P's MUST be used, there are 3 forms:\r\n" );
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document.write( "_PP, P_P, and PP_\r\n" );
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document.write( "And we can fill the blank 4 ways with A, L, E or S\r\n" );
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document.write( "That's 3×4 = 12 ways\r\n" );
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document.write( "2. If the two P's MAY be used, but don't have to be, \r\n" );
document.write( "then in addition to those 12 ways, we can choose 3\r\n" );
document.write( "letters from {A,P,L,E,S}\r\n" );
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document.write( "Choose the first letter 5 ways.\r\n" );
document.write( "Choose the second letter 4 ways.\r\n" );
document.write( "Choose the third letter 3 ways.\r\n" );
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document.write( "12 + 5×4×3 = 12 + 60 = 72 ways.\r\n" );
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document.write( "Edwin
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