document.write( "Question 1151076: You own 8 different novels. How many ways can a shelf arrangement of 4 of the novels be formed \n" ); document.write( "
Algebra.Com's Answer #772690 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In all, there are 8*7*6*5 = 1680 different arrangements.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the product of 4 integer factors, in descending order, starting from the biggest factor 8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The standard mantra to solve this (and many other similar problems) is THIS :\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " There are 8 ways to select the first book;\r\n" ); document.write( "\r\n" ); document.write( " then there are 7 ways to select the second book from 7 remaining books;\r\n" ); document.write( "\r\n" ); document.write( " then there are 6 ways to select the third book from 6 remaining books;\r\n" ); document.write( "\r\n" ); document.write( " and finally, there are 5 ways to select the fourth book from 5 remaining books.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |