document.write( "Question 693953: How many ways are there to arrange the letters F, R, E, E, if the E's must be side by side? \n" ); document.write( "
Algebra.Com's Answer #427659 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The E's must be side by side. So you can think of EE as one letter (call it Z)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F, R, E, E\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "turns into\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F, R, Z\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 3 unique letters, so there are 3! = 3*2*1 = 6 permutations and they are\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FRZ \n" ); document.write( "FZR \n" ); document.write( "RFZ \n" ); document.write( "RZF \n" ); document.write( "ZFR \n" ); document.write( "ZRF\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Wherever you see a \"Z\" in the list above, just replace it with EE, so you'd get this new list if you do that\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FREE \n" ); document.write( "FEER \n" ); document.write( "RFEE \n" ); document.write( "REEF \n" ); document.write( "EEFR \n" ); document.write( "EERF \n" ); document.write( " |