document.write( "Question 939958: How many 5 letter-words using letters from TRIANGLE can be made if the five-letter word must have two vowels and three consonants? \r
\n" ); document.write( "\n" ); document.write( "I set up the question using 5 blank spaces and wrote it like this:\r
\n" ); document.write( "\n" ); document.write( "5 4 3 3 2
\n" ); document.write( "then I multiplied \r
\n" ); document.write( "\n" ); document.write( "and I got 360 different 5 letter words.
\n" ); document.write( "answer key says 3600, where did I go wrong?
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Algebra.Com's Answer #572831 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "TRIANGLE\r\n" );
document.write( "has\r\n" );
document.write( "consonants T,R,N,G,L\r\n" );
document.write( "vowels I,A,E\r\n" );
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document.write( "We can choose three consonants in C(5,3) ways.\r\n" );
document.write( "We can choose two vowels in C(3,2) ways.\r\n" );
document.write( "We can permute the 5 letters in 5! ways:\r\n" );
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document.write( "C(5,3)*C(3,2)*5! = 10*3*120 = 3600\r\n" );
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document.write( "Edwin
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