document.write( "Question 928822:
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document.write( "In how many different ways can the letters of the word 'QUESTION' be arranged in such a way that the vowels occupy only the even positions? \n" );
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Algebra.Com's Answer #563880 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "CVCVCVCV\r\n" ); document.write( "\r\n" ); document.write( "There are 4! ways to arrange the 4 consonants in the 4 odd positions.\r\n" ); document.write( "For each of those 4! ways to arrange the consonants,\r\n" ); document.write( "there are 4! ways to arrange the 4 vowels in the 4 even positions.\r\n" ); document.write( "\r\n" ); document.write( "Answer 4!×4! = 24×24 = 576 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |