document.write( "Question 764789: using the letters of the word algorithm, and calling any arrangement of letters a word, answer this question: how many different seven letter words may be formed? \n" ); document.write( "
Algebra.Com's Answer #465786 by ramkikk66(644)\"\" \"About 
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document.write( "\"algorithm\" has 9 unique (non-repeating) letters.\r\n" );
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document.write( "From 9, a set of 7 letters can be chosen in \"9 choose 7\" or C(9,7) ways, which\r\n" );
document.write( "is (9*8)/(1*2) or 36 ways.\r\n" );
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document.write( "Each of these 7-letter can be arranged in 7! (factorial 7, or 1*2*3*4*5*6*7) ways.\r\n" );
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document.write( "So the total number of different words = 36 * 7! = 36 * 5040 = 181440.\r\n" );
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