document.write( "Question 1164692: In how many different ways can the letters of the word KNOWLEDGE be arranged
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Algebra.Com's Answer #789176 by Edwin McCravy(20060) $\"\"$ $\"About$

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In how many different ways can the letters of the word KNOWLEDGE be arranged
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document.write( "We can choose the 3 vowels to be together (call it a \"vowel trio\") any of\r\n" );
document.write( "these 3 ways: EEO, EOE, OEE.\r\n" );
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document.write( "For each of those 3 choices, there are 7 things (six single letters and one\r\n" );
document.write( "vowel-trio).  The 7 things are\r\n" );
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document.write( "K, N, W, L, D, G, (the vowel trio)\r\n" );
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document.write( "There are 7! ways to arrange those seven things:\r\n" );
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document.write( "Answer: 3∙7! = 3∙5040 = 15120 ways.\r\n" );
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document.write( "Edwin

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