document.write( "Question 848204: How many ways can 9 NBA Hall of Famers be arranged for a group picture, if Charles Barkley and Michael Jordan insist on standing next to each other. \n" ); document.write( "
Algebra.Com's Answer #510943 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! If Charles and Michael stand next to each other there are 8 * 2 ways or 16. You can see this by first treating Michael and Charles as one entity. So we have 8 objects to order. We have 8 ways to order Michael and Charles as one entity. Then since order matters, we have 2 ways to order Michael and Charles within their group.\r \n" ); document.write( "\n" ); document.write( "Now of the remaining 7 there is 7! ways to arrange the other hall of famers.\r \n" ); document.write( "\n" ); document.write( "So we get 16 * 7! = 80640 \n" ); document.write( " |