document.write( "Question 4565: What is the number of arrangements that can be made out of the letters of the words \"SUCCESS\" so that all the S do not come together? \n" ); document.write( "
Algebra.Com's Answer #2095 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Among \"SUCCESS\", there are 3 S, 2 C , 1 U & 1 E. \n" ); document.write( " \n" ); document.write( " So, there are 7!/(3! 2!) = (7*6*5*4)/2 = 420 possible arrangements \n" ); document.write( " \n" ); document.write( " When all 3 S come together , there are (1+2+1+1)!/2! = 5!/2! = 60\r \n" ); document.write( "\n" ); document.write( " Hence, there are 420-60 = 360 arrangements that all the S do not come together.\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " \n" ); document.write( " |