document.write( "Question 1129916: How many ways are there to place 4 distinct balls into 5 distinct boxes such that exactly 3 of the 5 boxes do not have any balls? \n" ); document.write( "
Algebra.Com's Answer #746573 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "In this problem, the order of 2 selected boxes is important and does matter.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, we have 5*4 = 20 different box arrangements - not 10 combinations, as @stanbon uses.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the total number of ways is 20*16 = 320 - not 160.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The correct answer is 320 ways.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |