document.write( "Question 580623: How many different arrangements of the word “scissors” are there? \n" ); document.write( "
Algebra.Com's Answer #371302 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The answer would be 8! if the s's were all distinguishable, e.g., of \r\n" ); document.write( "different colors.\r\n" ); document.write( "\r\n" ); document.write( "Since they are not distinguishable, 8! counts each arrangement 4! times too \r\n" ); document.write( "many, because in each arrangement there are 4! ways the 4 s's could be arranged\r\n" ); document.write( "within that arrangement, if they were of different colors. To eliminate\r\n" ); document.write( "duplications in this case when they are not distinguishable, we must divide the\r\n" ); document.write( "8! by 4!:\r\n" ); document.write( "\r\n" ); document.write( "Answer:\n" ); document.write( " |