document.write( "Question 235442: Suppose a license plate contains two letters followed by three digits with the first digit not zero. How many different license plates can be printed? \n" ); document.write( "

Algebra.Com's Answer #173412 by Edwin McCravy(20056) $\"\"$ $\"About$

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Suppose a license plate contains two letters followed by three digits with the first digit not zero. How many different license plates can be printed?\r
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document.write( "A sample licence plate might be, say\r\n" );
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document.write( "         M K 7 5 7\r\n" );
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document.write( "There are 26 choices for a letter to go where the M is. \r\n" );
document.write( "(Any of the 26 letters.)\r\n" );
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document.write( "There are then 26 choices for a letter to go where the K is.\r\n" );
document.write( "(Any of the 26 letters.)\r\n" );
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document.write( "There are then 9 choices for a digit to go where the first 7 is.\r\n" );
document.write( "(Any of the other 9 digits besides 0.)\r\n" );
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document.write( "There are then 10 choices for a letter to go where the 5 is. \r\n" );
document.write( "(Any of the 10 digits, including 0.)\r\n" );
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document.write( "There are then 10 choices for a letter to go where the second 7 is.\r\n" );
document.write( "(Any of the 10 digits, including 0.)\r\n" );
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document.write( "So we multiply all these together:\r\n" );
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document.write( "Edwin

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