document.write( "Question 979205: 1. In how many ways can the letters of the word POLICEMAN be arranged if the \"word\" must begin with L and end with a vowel?\r
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Algebra.Com's Answer #600826 by Edwin McCravy(20055) $\"\"$ $\"About$

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1. In how many ways can the letters of the word POLICEMAN
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document.write( "There is 1 way to choose the 1st letter as L.\r\n" );
document.write( "There are 4 ways to choose the last letter as a vowel.\r\n" );
document.write( "There are 7! ways to choose the letters in between.\r\n" );
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document.write( "That's 1*4*7! = 20160 ways.\r\n" );
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\n" ); document.write( "2. What is the probability that if the letters of POLICEMAN
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document.write( "20160 ways out of 9! or \r\n" );
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document.write( "You can also do the second part without using the first part at all.\r\n" );
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document.write( "The probability of choosing a P first is 1/9.\r\n" );
document.write( "The probability of then choosing a vowel last in 1/2.  [Because when you've\r\n" );
document.write( "chosen an L first there are 8 letters left, half vowels and half consonants.\r\n" );
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document.write( "So that probability is (1/9)(1/2) = 1/18.  (This way you can ignore the\r\n" );
document.write( "letters in between the first and last.)\r\n" );
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document.write( "Edwin

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