document.write( "Question 788607: I need your help please!
\n" );
document.write( "A library has 3 books from each of 5 different authors.
\n" );
document.write( "How many ways can the library arrange the books on the shelf if books by the same author must be placed together? \n" );
document.write( "
Algebra.Com's Answer #478580 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! We can choose the author whose 3 books will be on the far left in 5 ways. \n" ); document.write( "We can choose the author whose 3 books will be 2nd from the left in 4 ways. \n" ); document.write( "We can choose the author whose 3 books will be in the middle in 3 ways. \n" ); document.write( "We can choose the author whose 3 books will be 2nd from the right in 2 ways. \n" ); document.write( "We can choose the author whose 3 books will be on the far right in only 1 way.\r \n" ); document.write( "\n" ); document.write( "That's 5! ways to choose the order of authors left to right.\r \n" ); document.write( "\n" ); document.write( "We can choose the order of books by the author whose books are on the far left in 3! ways. \n" ); document.write( "We can choose the order of books by the author whose books are 2nd from the left in 3! ways. \n" ); document.write( "We can choose the order of books by the author whose books are in the middle in 3! ways. \n" ); document.write( "We can choose the order of books by the author whose books are 2nd from the left in 3! ways. \n" ); document.write( "We can choose the order of books by the author whose books are on the far right in 3! ways. \n" ); document.write( "Answer 5!*3!*3!*3!*3!*3! = 933120\r \n" ); document.write( "\n" ); document.write( "Edwin \n" ); document.write( " |