document.write( "Question 449236: how many different words can be formed with the letter of the word \"vicechancellor\" so that the vowels are together?
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Algebra.Com's Answer #309077 by Edwin McCravy(20054) $\"\"$ $\"About$

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document.write( "\"vicechancellor\"\r\n" );
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document.write( "The vowels i,e,a,e,o can be arranged  ways.\r\n" );
document.write( "We divide by 2! because of the 2 indistinguishable e's\r\n" );
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document.write( "For each of those ways of selecting the arrangement of the\r\n" );
document.write( "vowels, it is the same as selecting the number of ways of\r\n" );
document.write( "arranging the letters of\r\n" );
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document.write( "\"vcchncllrX\"\r\n" );
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document.write( "where X stands for the arrangement of the vowels which \r\n" );
document.write( "must be together:\r\n" );
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document.write( "That is .  We divide by 3! because of the 3\r\n" );
document.write( "indistinguishable c's and we divide also by 2! because of the\r\n" );
document.write( "2 indistinguishable l's.  So the desired number is\r\n" );
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document.write( "   \r\n" );
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document.write( "Therefore the answer is 18,144,000.\r\n" );
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document.write( "Edwin

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