document.write( "Question 891677: In how many ways can the letters of HEPTAGON be permuted so that the vowels are never separated? \n" ); document.write( "

Algebra.Com's Answer #539958 by Edwin McCravy(20055) $\"\"$ $\"About$

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HEPTAGON
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document.write( "Example: NHEOATGP\r\n" );
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document.write( "That example has the vowel sequence EOA \r\n" );
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document.write( "The vowels {A,E,O} can be arranged together in any of 3! ways.\r\n" );
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document.write( "For each of those 3! ways, we can form the permutation of these 6 things: \r\n" );
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document.write( "H,P,T,G,N,(vowel sequence)\r\n" );
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document.write( "in 6! ways.\r\n" );
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document.write( "Answer: 3!6! = 6*120 = 720 ways.\r\n" );
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document.write( "Edwin

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