document.write( "Question 1024006: How many words consisting of four consonants and 2 vowels can be
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Algebra.Com's Answer #639755 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "First we calculate how the arrangement will be made.\r\n" ); document.write( "For example CCVCCV or CVVCCC, etc. \r\n" ); document.write( "\r\n" ); document.write( "There are 6C2 places to choose to put vowels.\r\n" ); document.write( "That leaves 4C4 = 1 way to put consonants. \r\n" ); document.write( "\r\n" ); document.write( "For each of those we can choose and position 4 \r\n" ); document.write( "consonants 21P4 ways.\r\n" ); document.write( "For each of those we can choose and position 2 \r\n" ); document.write( "vowels 5P2 ways.\r\n" ); document.write( "\r\n" ); document.write( "Answer: \r\n" ); document.write( "\r\n" ); document.write( "(6C2)(4C4)(21P4)(5P2) = (12)(1)(143640)(20) = 34473600\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |