document.write( "Question 1036452: How many 7-letter arrangements can be created using all of the
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Algebra.Com's Answer #651116 by Edwin McCravy(20055)\"\" \"About 
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How many 7-letter arrangements can be created using all of the
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document.write( "Choose FIRST the letter posititions which have the most \r\n" );
document.write( "restrictive attributes.\r\n" );
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document.write( "The first letter position has the most restrictive attribute.\r\n" );
document.write( "It must be R. We can choose it only 1 way, as R.\r\n" );
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document.write( "That leaves letters F,L,O,W,E,S to place in letter positions\r\n" );
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document.write( "The remaining letter position with the most restrictive attribute is\r\n" );
document.write( "the last, 7th, letter, which must be a consonant.  Only consonants \r\n" );
document.write( "F,L,W,S are available.  That's 4 ways.\r\n" );
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document.write( "Regardless of which consonant we chose for the 7th letter position, there\r\n" );
document.write( "are 5 letters left, and none of the other positions are restrictive,\r\n" );
document.write( "so we might as well take them left to right:\r\n" );
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document.write( "We choose the 2nd letter position to have any one of the 5 remaining \r\n" );
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document.write( "That leaves 4 letters. \r\n" );
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document.write( "We choose the 3rd letter position to have any one of the 4 remaining \r\n" );
document.write( "letters.  \r\n" );
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document.write( "That leaves 3 letters. \r\n" );
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document.write( "We choose the 4th letter position to have any one of the 3 remaining \r\n" );
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document.write( "That leaves 2 letters. \r\n" );
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document.write( "We choose the 5th letter position to have either one of the 2 remaining \r\n" );
document.write( "letters.\r\n" );
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document.write( "That leaves only 1 letter. \r\n" );
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document.write( "We choose the 6th letter position to have that only one remaining \r\n" );
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document.write( "Summary:\r\n" );
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document.write( "1st letter position can be chosen 1 way.\r\n" );
document.write( "7th letter position can be chosen any one of 4 ways.\r\n" );
document.write( "2nd letter position can be chosen any one of 5 ways.\r\n" );
document.write( "3rd letter position can be chosen any one of 4 ways.\r\n" );
document.write( "4th letter position can be chosen any one of 3 ways.\r\n" );
document.write( "5th letter position can be chosen either of 2 ways.\r\n" );
document.write( "6th letter position can be chosen only 1 way.\r\n" );
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document.write( "Answer: 1󫶙󫶗󫎽 = 480 ways\r\n" );
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document.write( "Edwin
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