document.write( "Question 945755: A system designer is asked to design an inventory system for a hardware manufacturer. The manufacturer produces 57,826 different kinds of hardware. The system designer must decide on a way to identify the different kinds of hardware. Each id# is to begin with two letters of the alphabet. Any letter can be used except I,O,Z. The rest of the id# is to consist of digits. How many digits must the designer include in the id# format to ensure that each kind of hardware has a unique id#s? \n" ); document.write( "

Algebra.Com's Answer #577208 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Let the answer be n\r\n" );
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document.write( "We choose the first letter 23 ways.\r\n" );
document.write( "We choose the second letter also 23 ways.\r\n" );
document.write( "We choose the 1st digit any of 10 ways.\r\n" );
document.write( "We choose the 2nd digit any of 10 ways.\r\n" );
document.write( "We choose the 3rd digit any of 10 ways. \r\n" );
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document.write( "We choose the nth digit any of 10 ways.\r\n" );
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document.write( "That's  to n factors of 10.\r\n" );
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document.write( " Divide both sides by 529\r\n" );
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document.write( "The smallest number of digits the designer can use is 5.\r\n" );
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document.write( "Edwin

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