document.write( "Question 775364: consider words of length 10 which only contain letters from the set {a,e,i,o,u,r,s,t,v,w}, suppose repetition of letters is not allowed.
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Algebra.Com's Answer #472795 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
consider words of length 10 which only contain letters from the set {a,e,i,o,u,r,s,t,v,w}, suppose repetition of letters is not allowed.
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document.write( "10! = 3628800\r\n" );
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\n" ); document.write( "2. how many different words of length 10 are there if the consonants i.e. r,s,t,v,w and the vowels i,e, a,e,i ,o, u must alternate
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document.write( "They can be CVCVCVCVCV or VCVCVCVCVC [C=consonant, V=vowel]\r\n" );
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document.write( "For each of those 2 types, there are 5! ways to arrange the consonants\r\n" );
document.write( "and 5! ways to arrange the vowels:\r\n" );
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document.write( "5!×5!×2 = 120×120×2 - 28800\r\n" );
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\n" ); document.write( "3. how many different words of length 10 are there if all five vowels must be adjacent in each word?
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document.write( "VVVVVCCCCC, CVVVVVCCCC, CCVVVVVCCC, CCCVVVVVCC, CCCCVVVVVC, CCCCCVVVVV\r\n" );
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document.write( "For each of these 6 types, there are 5! ways to place the consonants and 5!\r\n" );
document.write( "ways to arrange the vowels:\r\n" );
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document.write( "5!×5!×6 = 120×120×6 - 86400\r\n" );
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document.write( "Edwin
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