document.write( "Question 941728: The word EQUATIONS contains all five vowels. How many 7-letter \"words\" consisting of all five vowels can be formed from the letters of EQUATIONS?
\n" ); document.write( "Thanks!!
\n" ); document.write( "

Algebra.Com's Answer #574085 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The word EQUATIONS contains all five vowels. How many 7-letter \"words\" consisting of all five vowels can be formed from the letters of EQUATIONS?
\n" ); document.write( "-----
\n" ); document.write( "Total # of letters:: 9
\n" ); document.write( "-----
\n" ); document.write( "Arrangements of the 5 vowels:: 5!
\n" ); document.write( "Arrangements of 2 of the 4 consonents:: 4P2 = 4*3
\n" ); document.write( "----------------------
\n" ); document.write( "Ans: # of words = 4*3*5! = 12*120 = 1440
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=============
\n" ); document.write( "
\n" );