document.write( "Question 791237: A license plate is denoted by LLNNN, where L is a letter and N is a
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Algebra.Com's Answer #479489 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "We find the numerator of the probability.\r\n" );
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document.write( "In order to have two vowels (a,e,i,o,u) and three identical\r\n" );
document.write( "digits, such as, say,\r\n" );
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document.write( "EU777\r\n" );
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document.write( "We can pick the vowel for the first character any of 5 ways.\r\n" );
document.write( "We can pick the vowel for the second character any of 5 ways.\r\n" );
document.write( "We can pick the digit for the last three characters in any of 9 ways.\r\n" );
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document.write( "That's 5×5×9 or 225 possible successful tags\r\n" );
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document.write( "So the numerator of the desired probability is 225.\r\n" );
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document.write( "Now we find the denominator, which is much much larger:\r\n" );
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document.write( "We can choose the 1st character, a letter, in any of 26 ways\r\n" );
document.write( "We can choose the 2nd character, also a letter, also in 26 ways.\r\n" );
document.write( "We can choose the 3rd character, a non-zero digit, in any of 9 ways.\r\n" );
document.write( "We can choose the 4th character, a digit, (possibly 0) in any of 10 ways.\r\n" );
document.write( "We can choose the 5th character, a digit, (possibly 0) in any of 10 ways. \r\n" );
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document.write( "That's 26×26×9×10×10 or 608400 possible tags, successful or unsuccessful..\r\n" );
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document.write( "So the denominator of the desired probability is 608400.\r\n" );
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document.write( "Probability =  = .\r\n" );
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document.write( "Edwin

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