document.write( "Question 1164753: a) In how many different ways can the letters of the word KNOWLEDGE be
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Algebra.Com's Answer #789174 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "In the word  KNOWLEDGE, we have 6 different consonants and TRIO of vowels.\r\n" );
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document.write( "We consider the trio as one single object (looking from the long distance).\r\n" );
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document.write( "From this point of view, we have 6+1 = 7 objects to permute, which gives 7! = 5040 permutations.\r\n" );
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document.write( "Changing/switching the scope to close view, wee see that the trio of vowels admits 3 arrangements,\r\n" );
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document.write( "giving the total number of all possible arrangements 3*5040 = 15120.\r\n" );
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document.write( "ANSWER.  The total number of all possible arrangements is 15120.\r\n" );
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