document.write( "Question 1207742: Serial numbers for a product are to be made using 4 letters followed by 4 digits. The letters are to be taken from the first 7 letters of the alphabet, with no repeats. The digits are taken from the 10 digits (0,1,2, ..., 9), with no repeats. How many serial numbers can be generated? \n" ); document.write( "

Algebra.Com's Answer #845783 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "Serial numbers for a product are to be made using 4 letters followed by 4 digits.
\n" ); document.write( "The letters are to be taken from the first 7 letters of the alphabet, with no repeats.
\n" ); document.write( "The digits are taken from the 10 digits (0,1,2, ..., 9), with no repeats.
\n" ); document.write( "How many serial numbers can be generated?
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document.write( "For first 4 positions, the number of possible 4-letter parts is  7*6*5*4 = 840\r\n" );
document.write( "(the product of 4 sequential integer numbers in descending order, starting with 7). \r\n" );
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document.write( "For last 4 positions, the number of possible 4-digit parts is  10*9*8*7 = 5040\r\n" );
document.write( "(the product of 4 sequential integer numbers in descending order, starting with 10). \r\n" );
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document.write( "The total number of all possible serial codes is the product  840*5040 = 4233600.    ANSWER\r\n" );
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