document.write( "Question 516081: Given the letter set {F-L-U-O-R-I-N-E}, how many three letter groups could you make if the end letters have to be vowels? (these three-letter \"groups\" do not have to make any sense.) Repetition is not permitted. \n" ); document.write( "

Algebra.Com's Answer #344244 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
There are 4 vowels. The permutations of 4 things
\n" ); document.write( "taken 2 at a time is $\"+4%2A3+=+12+\"$
\n" ); document.write( "There are 12 ways to put vowels at the ends
\n" ); document.write( "That leaves 6 other letters in the
\n" ); document.write( "8 letter word
\n" ); document.write( "The possible permutations
\n" ); document.write( "are $\"+6%2A5%2A4%2A3%2A2%2A1+=+720+\"$
\n" ); document.write( "The possible arrangements of these 2 groups is
\n" ); document.write( " $\"+12%2A720+=+8640+\"$
\n" ); document.write( "Hope I got it \n" ); document.write( "

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